Introduction

Approximately 66 million years ago, a 10–15 km sized carbonaceous chondritic asteroid1,2 collided with Earth, on the northern Yucatán Peninsula in Mexico, forming the ~ 200 km in diameter Chicxulub crater3. This event likely triggered the mass extinction of approximately 75% of all species4, including the non-avian dinosaurs, and led to the near-global loss of vegetation5,6 at the Cretaceous-Paleogene (K-Pg) boundary5,6,7,8,9,10,11. The mass extinction is hypothesized to be due to a rapid change of climatic conditions, resulting from the massive release of dust and climate-active gases, including water vapor, CO2, CH4, and sulfur (S)-bearing gases, by shock-vaporization of the seawater and the carbonate- and evaporite-rich sedimentary cover of the Yucatán target rock5,9,12,13. In addition, a massive release of fine-grained ejecta reduced the amount of solar radiation reaching the Earth’s surface, leading to a global impact winter state13. These fine-grained ejecta consist of silicate dust originating from the pulverization of the deep Yucatán granitic basement following the impact5,13,14, sulfate aerosols formed from the vaporized evaporites and seawater15, and soot from buried hydrocarbons16,17 and possible impact-induced wildfires16,18,19,20. The thus-induced impact winter triggered extremely cold conditions and a blockage of photosynthesis that affected Earth at the scale of years to decades13,21,22,23,24. Current models consider sulfate aerosols to be a crucial contribution to this global perturbation as they induce a net cooling effect due to their strong backscattering of solar radiation25,26. The impact winter is followed by long-term gradual global warming for tens of thousands of years steered by CO2 emitted from the dissociation of the carbonate target5,12,21,22,23,24,27,28,29,30. Short-term global cooling is often regarded as the most critical step in the global extinction event, although the volume and relative role of impact-released sulfur remain poorly constrained.

The amount of sulfate aerosols injected within the atmospheric column and the residence time of the corresponding particles determine the severity of the sulfur-induced global cooling30. Residence time in the atmosphere depends on the altitude to which the impact-vaporized S is injected into the atmosphere12 and the type of S-species injected26. Impact-vaporized S-species injected into the oxidizing Paleogene atmosphere31 react with O2, OH-, and/or H2O to form sulfate aerosol (H2SO4), usually through the following series of simplified reactions SO2 + OH-→ HSO3- + O2 → SO3 + H2O → H2SO426. Photodissociation reactions also occur due to the absorption of visible light and/or UV-radiation following H2SO4 + hν → SO3 + H2O26 and SO2 + hν → SO + O32. With time, the resulting sulfate aerosols settle down onto the Earth’s surface via wet and/or dry deposition mechanisms. Reduced S-species have a longer residence time than oxidized species, and the injection height of the particles influences the reaction rates as the atmospheric conditions at higher altitudes are less oxidizing, drier, and less shielded from sunlight (with residence times of days to weeks for the troposphere and years to decades for the stratosphere)26,30,33. Numerical modeling of these physical and chemical processes in the climate system documents the environmental changes triggered by the impact. The accuracy of paleoclimate model studies focusing on the atmospheric influence of the impact-released S13,23,24 highly depends on adequate estimations of the total amount of impact-volatilized S.

Current estimates of impact-released S rely on numerical methods that simulate the impact, using assumed target-rock and projectile parameters based on field observations and small-scale laboratory experiments to constrain the amount released into the atmosphere. The earliest estimates of total volatilized S by Sigurdsson et al. in 1992 (4300 Gt S)15, Brett in 1992 (200 Gt S)34, and Chen et al. in 1994 (90 Gt S)35 (see Table 1 for more detailed information on the model assumptions and outcome) are now considered unreliable as they are based on incomplete geological records, inaccurate assumptions about impact parameters, or invalid experiments involving devolatilization of calcium sulfate. The subsequent estimates obtained by Pope et al. in 1994 (35–210 Gt S)22 and Ivanov et al. in 1996 (6–106 Gt S)36 (Table 1) both used the same impact model, but these studies were performed using outdated constraints for the composition, size, and equations of state (EOS) for both the impact site and projectile, while they also did not consider the obliqueness of the impact (impact angle to the surface normal)21,36. Rudimentary atmospheric modeling based on the estimates from Pope et al. 199422 and Ivanov et al. 199636 was carried out by Pope et al. in 199737 (Table 1).

Table 1 Comparison of previously published numerical estimates for S release and associated climatic effects

Pierazzo et al. 199821 addressed some of the shortcomings of the former numerical models for estimating the amount of impact-released S (152–253 Gt S) by considering the size, velocity, and porosity of the projectile, as well as target rock stratigraphy and updated EOS for the anhydrite in the target (Table 1). As laboratory experiments had in the meantime shown that 30–60% of vaporized S from anhydrite/gypsum would be trapped as condensate through recombination with CaO in the cooler parts of the impact plume36, Pierazzo et al. 199821 roughly assumed that 50% of all the vaporized S would be lost to recombination effects before being injected into the atmosphere (76–127 Gt S). In 2003, Pierazzo et al.23 simulated the resulting climate changes by applying the estimates of released S as obtained in Pierazzo et al. 199821 and ignoring other climate-active gases and particles (Table 1). More than a decade later, Brugger et al. 201728 performed further climate modeling closely following the climate model of Pierazzo et al. 200323 (Table 1).

In 2017, Artemieva et al.12 applied more advanced impact simulation models to estimate the total load of impact-volatilized S into the atmosphere (Table 1), adding recent constraints on the shock pressure, the composition of the target rock, as well as asteroid impact angle. This latest simulated estimate provided an estimated amount of 325 ± 130 Gt of released S, which is higher than any previous estimates, except for Sigurdsson et al. 199215. To date, the simulations of the Chicxulub impact and amount of impact-released S by Artemieva et al. 201712 are considered the most reliable. Tabor et al. 202024 and Senel et al. 202313 used the numerical estimation of 325 Gt S from Artemieva et al. 201712 in two short-term paleoclimate studies in which the individual and combined effects of S, soot, and silicate or iron dust released following the Chicxulub impact event were modeled (Table 1).

The reliability of numerical estimates is heavily reliant on assumptions about the Chicxulub impact shock pressure and the percentage of S that this shock pressure released from the target rock, which in part explains the large range of published estimates (6 to 4300 Gt S, Table 1). Previously used numerical estimations of impact-released S also rely heavily on the assumption of the proportion and distribution of evaporite within the target (Table 1). Considering the size of the impact structure (~ 200 km) and the limited volume of impactite recovered during several drilling projects29, a rigorous estimation of the proportion of evaporites present in the target rock lithology remains challenging. Currently, this estimation mainly relies on the stratigraphy (~ 27% anhydrite with the remaining intervals dominated by limestones and dolomites) of the ICDP (International Continental Scientific Drilling Program) Yax-1 (Yaxcopoil-1) drilling in 2001–2002 that penetrated the undisturbed upper half of a ~ 3 km sequence of target Cretaceous sediments located beneath the outer annular trough of the Chicxulub impact structure38,39,40. The lower half of the Yucatàn sedimentary target is estimated to be more evaporite-rich (22–63% anhydrite) based on geophysical logs and well cuttings of the PEMEX (Petróleos Mexicanos) boreholes sampled in the 1950s and 1960s south/east of the crater21,41 and stratigraphy of the 1994–1995 UNAM (Universidad Nacional Autónoma de México) drill cores within the ejecta blanket south of the Chicxulub impact structure42,43. However, these drill cores outside the crater rim may be too shallow to be representative of the deepest part of the sedimentary target rock. In contrast, the 2016 offshore drill core M0077A recovered from the northern part of the Chicxulub peak ring by IODP (International Ocean Discovery Program)-ICDP Expedition 364 is largely devoid of gypsum and anhydrite, and sulfur-bearing phases are limited to pyrite, chalcopyrite, and minor accessory minerals29,44,45. The potential heterogeneous distribution of evaporite within the Yucatán target constitutes a considerable source of uncertainty during numerical estimation, which makes this approach to document S release unreliable.

For a more reliable estimate of the S released, the empirical estimates applied in the current study, instead of focusing on the impact event itself, rely on the aftermath of the impact-vaporized S injected into the atmosphere, mainly the wet and dry deposition of the globally distributed sulfate aerosols back to Earth’s surface. If massive amounts of impact-sulfate aerosols are deposited globally, a positive S concentration anomaly should be observed at and after the K-Pg boundary clays in the sedimentary profiles of known K-Pg boundary sites. The amount of S in these K-Pg boundary sediment profiles related to the impact can be quantified using an isotope dilution approach if the S isotopic fingerprint (δ34S) of the target rock evaporite is constrained with sufficient precision and if it is sufficiently distinct compared to the δ34S of the natural bedrock of the K-Pg boundary site. These S anomaly profiles allow one to empirically estimate the total amount of impact-released S using mass balance calculations. In contrast with previous numerical estimations12,15,21,22,34,35,36, assumptions about the impact angle, projectile size, velocity, shock pressures, target rock stratigraphy and porosity, and interactions within the impact-related gas plume are not required. Instead, calculations rely on the S isotope ratio of the target rock and the preservation of the deposition record.

To date, only a few studies have examined S isotopic compositions across the K-Pg boundary, where S isotope ratios in combination with S concentrations have been mostly used to investigate post-impact changes to the biogeochemical S-cycle. This includes shifting sulfate levels in seawater46,47, duration of oxic/anoxic conditions based in part on observed large negative δ34S shifts due to bloom of sulfate-reducing microbes48,49,50,51,52,53,54, and input from impact-generated atmospheric sulfur30,49,52,55,56. None of these studies used the empirical S data from a pristine K-Pg boundary depositional site to estimate the total amount of impact-released S.

The current study provides an empirical estimate of the amount of impact-vaporized S using an isotope dilution approach based on a set of K-Pg boundary deposition sites to study the role of S in triggering the post-impact winter. The S fingerprint of the target rock is constrained by investigating the S content and isotopic composition in drill cores located within the Chicxulub impact structure and the proximal ejecta blanket. Sulfur concentrations and δ34S values in K-Pg boundary sections, varying from terrestrial to deep marine, and proximal to distal relative to the impact-site, are determined to yield full geochemical profiles.

Results and discussion

Sulfur concentration and isotopic composition in the target

For the applied isotope dilution approach at the global scale, the first step is to constrain the S isotopic fingerprint (δ34S) of the target rock evaporite. The concentration of S and its isotopic composition were determined in selected lithological units in Cretaceous sediments of five onshore drill cores: PEMEX Y6 (Yucatán 6, located inside the annular crater moat surrounding the Chicxulub peak ring area ~ 50 km southwest from the center of the impact structure)57,58, UNAM-5 (located outside the crater in the proximal ejecta blanket ~ 105 km south from the center of the impact structure), UNAM-6 (located outside the crater in the proximal ejecta blanket ~ 151 km southeast of the center of the impact structure), UNAM-7 (located outside the crater in the proximal ejecta blanket ~ 126 km southeast of the center of the impact structure)42, and ICDP Yax-1 (Yaxcopoil-1, located in the outer part of an annular trough ~ 60 km south of the center of the impact structure)38, as well as the offshore drill core IODP-ICDP Expedition 364 M0077A (located on the topographic peak ring ~ 46 km northwest of the center of the impact structure)44. Figure 1A shows the locations of these drill cores within the Yucatán peninsula. Measured bulk δ34S values and S concentrations throughout the different lithological units of the M0077A drill core are shown in Fig. 1B (Supplementary Fig. S1 in the Supplementary information, SI, focuses on the K-Pg boundary claystone interval only). In addition, Fig. 1 represents the range in δ34S values and S concentrations for the five onshore drill cores.

Fig. 1: Summarized S data for drill cores located within and close to the Chicxulub peak ring area.
figure 1

A Simplified geological surface map of the Yucatán Peninsula in Mexico (modified from Rebolledo-Vieyra and Urrutia Fucugauchi 2004120, Kring 2005121, and Kaskes et al. 202145; used with permission of The Geological Society of America) with the subsurface features of the Chicxulub impact structure marked. On the map, drill core locations are highlighted using stars of different colors: Y6 (Yucatán 6) from PEMEX (Petróleos Mexicanos); U5 (UNAM-5), U6 (UNAM-6), and U7 (UNAM-7) from UNAM (Universidad Nacional Autónoma de México); Yax-1 (Yaxcopoil-1) from ICDP (International Continental Scientific Drilling Program); and M0077A from IODP-ICDP (International Ocean Discovery Program- International Continental Scientific Drilling Program) Expedition 364. Next to each star, the corresponding measured bulk δ34S range is presented. B Simplified lithological column for the IODP-ICDP Expedition 364 M0077A drill core with corresponding measured bulk δ34S values and S concentrations (on a logarithmic scale). The equivalent of the K-Pg (Cretaceous-Paleogene) boundary claystone, characterized by an Ir anomaly based on Goderis et al. 2021117, is shown here by a red dashed line. A higher resolution visualization of the interval surrounding the K-Pg boundary claystone is displayed in Supplementary Fig. S1. For comparison, previously published pyrite-related S concentrations and δ34S values from two studies of the M0077A drill core are included, Schaefer et al. 202053 (circular markers) and Kring et al. 202154 (triangular markers). The range of measured bulk δ34S values and S concentrations for the five other drill core samples (Y6, Yax-1, U 5–7, and Yax-1, U 5–7, respectively) obtained in the present study are highlighted by a gray area in the graphs.

Anhydrite within unshocked Cretaceous sediments at the impact site (Yax-1) and in the proximal ejecta blanket (UNAM-5, 6, and 7) vary between 6 and 23 wt% S and δ34S values range between 18.0 and 19.5‰. Suevite and impact melt breccia intervals within drill core Y6 contain 0.5 to 2 wt% S with δ34S between 17.1 and 17.9‰ (Fig. 1B, Supplementary Fig. S2 and Supplementary Table S1 in the SI). All onshore drill cores display δ34S values (17.1–19.5‰) that agree with the previously determined average δ34S value of 18.3‰ for the Yax-1 and Y6 drill cores (ranging between 18.0 to 19.8‰)59 and the seawater sulfate δ34S values ranging between 17 to 19‰ at the end of the Cretaceous46,60. The high S concentrations observed for Yax-1 and UNAM-6 (23 and 20 wt% S, respectively) indicate pure anhydrite and gypsum (19–24 wt% S), while the S content in the other drill core samples (0.5–10 wt% S) represents a mixed composition with a large admixture of evaporite as even the lower S concentrations found in the suevite and impact melt breccia rock sections of the Y6 core have similar δ34S values (Supplementary Fig. S2 in the SI). The total reduced inorganic S (TRIS) content is measured for the suevite and impact melt breccia sections in the Y6 drill core (24 and 52 µg g-1, respectively, Supplementary Table S3 in the SI). This corresponds to TRIS fractions of 0.1 and 1% of the bulk S concentration, respectively, indicating that these sections mostly contain oxidized S-species such as anhydrite and gypsum.

Detailed bulk S concentration and δ34S profiles are provided for M0077A as evaporites had previously been observed to be largely absent from this drill core29, indicating effective degassing of anhydrite within the peak ring of the impact crater or post-impact dissolution following enhanced fluid flow in the hydrothermal system of the impact basin. These profiles span different lithological units45, including the post-impact Paleogene sediments, suevite (impact-melt bearing polymict breccia), upper impact melt rock (UIM), lower impact melt rock-bearing rock (LIMB), and intermediate intervals below the UIM, including granitoid, dolerite, and dacite basement material to constrain the various contributing sources of S and determine the effects of post-impact processes overprinting the primary S isotopic signatures (Fig. 1B and Supplementary Table S1 in the SI, detailed discussion found in SI). The TRIS fraction in selected samples throughout the M0077A drill core (140–7000 µg g-1) corresponds to 22–86% of the bulk S concentration. The lowest TRIS fractions (22–33%) are found in the graded suevite, a metamorphic clast, and lower LIMB units (Supplementary Fig. S5 and Supplementary Table S3 in the SI, detailed discussion found in SI), consistent with higher bulk δ34S values (0.7–8.5‰), indicating that traces of evaporite may be preserved within the M0077A drill core. Among them, the graded suevite section has the highest bulk δ34S value and the largest shift (14.0‰) between the bulk δ34S and the sulfide-specific δ34S (− 5.5‰, Supplementary Table S3 in the SI). As the bulk S concentrations (500–1500 µg g−1) and δ34S values are lower in these lithological units compared to the five onshore drill cores (Yax-1, Y6, and UNAM-5-7), the signals measured for the target bedrock are likely influenced by later post-impact processes. For instance, in contrast to the graded suevite section, the bedded suevite section right above has a significantly lower bulk δ34S (− 7.4 to − 5.3 ‰), a higher TRIS fraction (85%), and a small shift (1.9‰) between the bulk δ34S and the sulfide-specific δ34S (− 9.2‰) (Supplementary Tables S1 and S3 in the SI). Similarly low sulfide δ34S values have previously been observed in the post-impact sediment sections in the M0077A drill core by Schaefer et al. 202053 (Fig. 1B) and suggested by Kring et al. 202061, 202154 to result from late-stage microbial reduction of S in impact-generated hydrothermal systems. Following the effective overprinting of various drill core intervals, the bulk δ34S value of the target rock is best determined based on the δ34S values measured for the evaporite-containing lithological units in five different drill cores located within and around the Chicxulub impact structure (Yax-1, Y6, and UNAM-5-7), which leads to an average target rock δ34S value of 18.5 ± 1.4‰ (2 SD).

Sulfur concentration and isotopic profiles for K-Pg boundary sites

The second step in the global scale isotope dilution approach is to find preserved positive S concentration anomalies within the sediment profiles of K-Pg boundary deposition sites indicating airfall of the impact-vaporized S from the target rock. As the average impact target rock δ34S value is ~ 18.5‰ ( ± 1.4‰, 2 SD), positive δ34S values are expected to coincide with the elevated S concentrations found within sediment profiles unless the natural bedrock of the site has similar or higher δ34S values as/than the target rock. The locations of all the K-Pg boundary deposition sites included in this study are presented in Fig. 2A. Figure 2B–I shows the bulk S concentration and δ34S profiles. Full profiles across the K-Pg boundary are measured for four of these K-Pg boundary sites (Fig. 2B–E). The localities selected for full profiles include the distal mid-shelf marine site at Stevns Klint (Denmark, neritic with estimated water depths at K-Pg boundary times of 100–150 m62, Fig. 2B), a distal deep marine site at Caravaca (Spain, bathyal with estimated water depths of 500–1000 m62, Fig. 2C), a proximal mid-shelf marine K-Pg boundary section at Brazos River (Texas, USA, neritic with estimated water depths of 75–100 m10, which is a well-established tsunami deposit (tsunamite)63,64,65,66, Fig. 2D), and an intermediate terrestrial site at Tanis (Hell Creek Formation, North Dakota, USA67, Fig. 2E) located approximately 6400; 5500; 900; and 3000 km from the Chicxulub impact structure, respectively. For these sites, airfall deposition following the impact event is additionally assessed by measuring siderophile element concentrations, including Ir, Re, Cr, Co, and Ni, and ratios between these element concentrations in impact-related sediment profiles (Fig. 3, Supplementary Figs. S68 and Supplementary Table S4). The presence of a meteoritic contribution is confirmed when the concentration of Ir and the other siderophile elements are highly elevated compared to background (i.e., continental crustal) values, and the ratios between these elements are roughly similar to chondritic ratios in impact-related lithologies (melt rocks, impact ejecta material, etc.)68. For comparison, the bulk S concentration and the δ34S value were additionally investigated for other K-Pg boundary sites but using only a single sample located exactly within the K-Pg boundary claystone (Supplementary Table S2 in the SI). These sites included a proximal bathyal marine site at Beloc (Haiti, 150 µg g−1 and 17 ‰), several intermediate terrestrial sites at Long Canyon (Raton Basin, Colorado, USA, 1500 µg g1 and 4.0 ‰), Dogie Creek (Powder River Basin, Wyoming, USA, 3300 µg g1 and − 0.89 ‰), Brownie Butte (Hell Creek area, Montana, USA, 4200 µg g1 and − 3.2 ‰), and Seven Blackfoot Creek (Hell Creek area, Montana, USA, 500 µg g1 and − 2.0 ‰), as well as several distal bathyal and outer-neritic/upper-bathyal marine sites at Frontale (Italy, 90 µg g1 and 16 ‰), Fonte d’Olio (Italy, 170 µg g1 and 16 ‰), Siliana (Tunisia, 3600 µg g1 and 13 ‰), and Elles (Tunisia, 63,000 µg g1 and 18 ‰) located approximately 500, 2250, 3000, 3100, 3100, 6300, 6300, 6700, and 6700 km from the Chicxulub impact structure68, respectively (Fig. 2A).

Fig. 2: Summarized S data for K-Pg boundary deposition sites.
figure 2

A Simplified paleogeographic map reconstructed for the Late Cretaceous with K-Pg impact ejecta sites included in this study is highlighted. Different colors represent the proximity of the site to the Chicxulub impact structure, from 500 to 6700 km (modified from Goderis et al. 2021, Globally distributed iridium layer preserved within the Chicxulub impact structure. Sci Adv 7, 1–13 (2021)117. © The Authors, some rights reserved; exclusive licensee AAAS. Distributed under a CC BY-NC 4.0 license http://creativecommons.org/licenses/by-nc/4.0/. Reprinted with permission from AAAS. The map published by Goderis et al. 2021117 is redrawn after Paleoglobe for the Late Cretaceous, 66 million years ago, by C. R. Scotese, PALEOAMP Project 2012122, and updated according to Snedden 2019123, © Cambridge University Press. Reproduced with permission of C. R. Scotese and the Cambridge University Press through PLSclear, respectively). The stars represent K-Pg (Cretaceous-Paleogene) sites for which both bulk S concentration and δ34S profiles around the K-Pg boundary were determined, while circles represent K-Pg sites for which the bulk S concentration and δ34S value were determined in the K-Pg boundary claystone only. The numbers correspond to K-Pg sites: (1) Beloc; (2) Long Canyon; (3) Seven Blackfoot Creek; (4) Frontale; (5) Fonte D’Olio; (6) Siliana; (7) Elles. BI Simplified lithological profiles with corresponding measured bulk δ34S and S concentration profiles for 8 K-Pg boundary sites, ranging from deep marine to terrestrial environments and from proximal to distal sites. These include: (B) Stevns Klint; (C) Caravaca; (D) Brazos River; (E) Tanis; (F) Dogie Creek (from Maruoka, T., Koeberl, C., Newton, J., Gilmour, I., and Bohor, B.F., 2002, Sulfur isotopic compositions across terrestrial CretaceousTertiary boundary successions, in Koeberl, C., and MacLeod, K.G., eds., Catastrophic Events and Mass Extinctions: Impacts and Beyond: Geological Society of America Special Paper 356, p. 337–344, https://doi.org/10.1130/0-8137-2356-6.33752.). G Brownie Butte (from Maruoka et al. 200252). H Knudsen Coulee (from Cousineau 201356). I Knudsen Farm (from Cousineau 201356). Error bars represent the external uncertainty or 2 SD (based on digestion replicates and repeated measurements) and are often smaller than the markers. The dashed red line represents the base of the K-Pg boundary claystone or equivalent thereof.

A positive peak in S concentration coinciding with positive δ34S values, as expected for atmospherically deposited Yucatán target anhydrite, is observed in the boundary claystone and coal interval of the terrestrial Tanis K-Pg site (600–8000 µg g−1 and − 6 ‰ to 5 ‰, respectively, Fig. 2E; Supplementary Table S2 in the SI). This positive S anomaly coincides with increases in the Co, Cr, Ni, Ir, and Re concentrations in the post-impact claystone sediment (Fig. 3 and Supplementary Table S4). The Ni/Cr ratios (Fig. 3 and Supplementary Table S4) around the S increase for the Tanis site range between 1.6 and 3.4, which is distinct from the Ni/Cr values of the Earth crust around ~ 0.568,69. This range indicates meteoritic input as these values are more similar to the Ni/Cr values of 1.1–3.4 previously observed in smectites from a K-Pg boundary site at Beloc, Haiti70; the slope of 4.3 ± 1.3 (Ni/Cr range between 0.09–7.42) for the regression line of Ni and Cr values for 48 different K-Pg boundary ejecta layers from all around the globe68; and the mean Ni/Cr for carbonaceous chondrites of CO-type (3.96 ± 0.18, 2 SD), CM-type (4.01 ± 0.60, 2 SD), and CR-type (3.72 ± 0.78, 2 SD)71; which have been suggested to match the Chicxulub impactor1. The previously published median grain sizes for the Tanis K-Pg sediment profile13 lack data in the Paleocene coal interval coinciding with the positive S anomaly.

Fig. 3: Geochemistry and sedimentology of the Tanis K-Pg boundary site.
figure 3

Bulk S, Co, Cr, and Ni concentrations; background subtracted Ni/Cr ratios; Ir and Re information values (concentrations close to the detection limit, DL, of the method); and previously published13 median grain-size values of the Tanis K-Pg (Cretaceous-Paleogene) boundary site are presented. Error bars represent the standard deviation for two or more replicates and are often smaller than the symbols. The dashed red line indicates the K-Pg boundary claystone equivalent, based on sedimentological constraints, and the presence of microkrystites and shocked minerals67. Typical Ni/Cr values for the upper continental (UCC) crust69 are shown with a dashed orange line, while the range is marked by an orange interval. The blue region indicates the previously published range for Ni/Cr values from other K-Pg boundary sites and for carbonaceous chondrites68,70,71. The gray region for the median grain size represents the Paleocene coal interval, where data are missing due to insufficient lithogenic fractions for accurate laser-diffraction grain-size analysis after decarbonization13.

The median grain size immediately below the Paleocene coal interval coinciding with the positive S anomaly (in the claystone interval, right above the K-Pg boundary line in Fig. 3) is significantly finer (2.88–3.83 µm) and unimodal compared to the event deposit siltstone right below (10.63–11.27 µm) and the Paleocene siltstone above (12.75–29.86 µm). This finer grain size has previously been reported to result from atmospheric settling13, although further sedimentological studies and grain-size measurements in the coal interval should be carried out. Combining the Ir and Re information data with the Co, Cr, and Ni concentrations, Ni/Cr ratios, and grain-size profile, the increase in S concentrations and δ34S values observed at the Tanis site likely indicates airfall of finely mixed impactor and target rock material directly on top of the Tanis silty event deposit67.

The positive S offset observed in the S profile for the Tanis site is similar to the previously documented S-profiles for other terrestrial K-Pg sites. These sites include Dogie Creek (~ 500 µg g−1 to ~ 26,000 µg g1 and − 5 ‰ to 1 ‰, Fig. 2F, Ir-anomaly previously published68) and Brownie Butte (~ 2000 µg g1 to ~ 22,000 µg g1 and − 3 ‰ to 6 ‰, Fig. 2G, Ir-anomaly previously published68) in Maruoka et al. 200252 and Knudsen’s Coulee (Canada at ~ 4300 km, ~ 300 µg g1 to ~ 9000 µg g1 and 2 ‰ to 17 ‰, Fig. 2H, Ir-anomaly previously published72,73) and Knudsen’s Farm (Canada at ~ 4300 km, ~ 2.5 km from Knudsen’s Coulee site, ~ 500 µg g1 to ~ 8000 µg g1 and 2 ‰ to 9 ‰, Fig. 2I, Ir-anomaly previously published72,73) in Cousineau 201356. The two additional terrestrial K-Pg deposition sites investigated in this study, Long Canyon and Seven Blackfoot Creek, show similar bulk δ34S values in the K-Pg boundary clay (4 ‰ and − 2 ‰, respectively), but only Long Canyon displays bulk S concentrations (~ 1500 µg g1) similar to those observed at the other terrestrial sites. The S concentration at Seven Blackfoot Creek (~ 500 µg g1) (Supplementary Table S2 in the SI) is likely too low to reflect vaporized anhydrite target deposition. The δ34S values for the Long Canyon site are similar to previously published55 δ34S values for another Raton Basin terrestrial site, Sugarite (Raton Basin, New Mexico, USA, 2100 km from the Chicxulub impact structure), where an incomplete profile indicates that the δ34S values increase from 4.6 to 8.0 ‰ in the K-Pg boundary claystone in a similar manner to what is observed for the terrestrial sites discussed above.

In contrast to the terrestrial Tanis site, a positive peak in S and siderophile element (Co, Cr, and Ni) concentrations coincides with a negative δ34S peak for the marine Stevns Klint (400–11,000 µg g−1 and 18 ‰ to − 39 ‰, respectively) and Caravaca (300–800 µg g1 and 19 ‰ to − 32 ‰, respectively) K-Pg site profiles (Fig. 2B, C, Supplementary Figs. S6, S7 and Supplementary Tables S2 and S4 in the SI). This is likely a result of S fractionation during microbial reduction of sulfate followed by pyrite sedimentation48. The Caravaca site additionally shows a positive δ34S peak in the limestone/marl section below the K-Pg claystone, which does not correspond to a positive peak in the S concentration, possibly indicating impact-related sulfate deposition, although the positive δ34S peak could also result from the incorporation of seawater sulfate (e.g., carbonate-associated sulfate in the limestone/marl sections74) at this marine site. In the case of both the Stevns Klint and Caravaca sites, a Ni/Cr ratio between 1.3–5.1, distinct from crustal values, is observed following the impact, which coincides with the increases in S concentration (Supplementary Figs. S6, S7, and Supplementary Table S4). Therefore, a portion of the S at these sites likely derives from airborne S related to the impact, which is also supported by previously published Ir data48,68,75.

The S profiles obtained for the marine Brazos River site display positive peaks in S concentration coinciding with a more positive δ34S excursion (6000–30,000 µg g−1 and from − 40 ‰ to − 33 ‰), similarly as observed in previously published52 S profiles for the distal marine Kawaruppu K-Pg boundary section (Tokachi District, Hokkaido, Japan, 11,000 km from the Chicxulub impact structure, 900–5400 µg g1 and from − 35 ‰ to 0 ‰49). In contrast to the other marine K-Pg boundary sites the S-profiles for these two sites are jagged (Fig. 2D and Fig. 1 in Kajiwara and Kaiho 199249), indicating heterogenous S input in these K-Pg sediments. For the Brazos River site, the siderophile element profiles (Co, Cr, and Ni) are also jagged (Supplementary Fig. S8 in the SI) and large variations are observed in the bulk S concentration and δ34S values for multiple sub-samples in the sandstone section (Fig. 2D), likely resulting from the admixture of S deposited from the atmosphere and, because of the proximity of Brazos River to the impact site, the wash-in of anhydrite-rich material derived from the crater region76 (more detailed discussion found in the SI). A moderate Ir anomaly has previously been published for the Brazos River site68,77,78,79,80,81, and the Ni/Cr values measured here range between 0.2 and 0.7 throughout the entire profile (Supplementary Fig. S8 and Supplementary Table S4), and are thus more consistent with continental crustal values (~ 0.568,69). Together, these observations suggest strong dilution of the meteoritic component at this site likely due to impact tsunami/seiche waves.

The low δ34S values observed across the entire K-Pg boundary interval at the Stevns Klint (Fig. 2B), Brazos River (Fig. 2D), and Kawaruppu (Fig. 1 in Kajiwara and Kaiho 199249) sites and in selected samples at the K-Pg boundary at the Caravaca site (Fig. 2C) may result from large S fractionation during microbial reduction, which has been suggested for these sites in previous studies30,48,50,51. The K-Pg sections in the mid-shelf marine sites, Stevns Klint and Brazos River are additionally marked by sedimentary enrichment of Mo, linked to blooms of stress-tolerant endobenthic foraminifera and indicating increased input of organic matter and hypoxic seafloor conditions at these sites following the K-Pg impact event62. Such low oxygen conditions are in line with the proposed microbial sulfate reduction mechanism and elevated input of poorly reactive organic substrates82,83, leading to the post-impact formation of pyrite at these sites. From conventional marine sites, it is known that overall S isotope fractionation increases with increasing sulfate concentration above a critical level (reservoir effect84). At the deep marine Caravaca site, hypoxic conditions were brief62, which also agrees with very low δ34S values measured only < 0.25 cm above the K-Pg boundary. Therefore, post-impact microbial S reduction leading to a large fractionation of the δ34S values is highly probable for these sites, meaning that the S concentration and δ34S signals determined at these sites no longer exclusively reflect deposition of atmospheric S.

Terrestrial environments, more specifically paludal to lacustrine settings, are considered more suitable for the investigation of impact-derived S as the background S concentrations are generally low and the deposited S less perturbed in relation to marine environments52,85. The impact-deposited sulfate at terrestrial sites may also undergo microbial reduction that could result in an underestimation of the total amount of impact-released S. However, these sites typically have lower sulfate concentrations, so S isotope fractionation is typically considered to be small84. Depending on the local environment, a substantial addition of sulfate to terrestrial environments, for example following seawater incursion events, has been observed to result in significantly higher S isotope fractionations. For example, large S isotope fractionation up to 50.5‰ has recently been observed in samples from a Cretaceous (~ 85 Myr ago) terrestrial inland rift basin located in northeast China86. At this Cretaceous terrestrial site, the large δ34S shift is attributed to singular or repeated seawater incursion events, during which the influx of sulfate-rich marine water into a sulfate-poor basin likely led to increased S isotope fractionation during microbial reduction. Comparably negatively correlated S concentrations and δ34S values are only observed briefly in the S profiles for one of the terrestrial sites included in this study (in the K-Pg boundary claystone of Dogie Creek, Fig. 2F), and attributed to microbial reduction during anoxic conditions in the Dogie Creek wetlands around the K-Pg boundary by Maruoka et al. 200252. However, this negative δ34S shift is limited (1.7 ‰, from − 2.9 to − 4.6 ‰) and the rest of the Dogie Creek S profiles exclusively show positive correlations. In contrast to the marine site sediment profiles included in this study and the previously published terrestrial sediment profiles86, microbial reduction fractionation effects are assumed to be small for all terrestrial sediment profiles discussed in this study (Tanis, Dogie Creek, Brownie Butte, Knudsen’s Coulee, and Knudsen’s Farm; Fig. 2E–I). All these terrestrial profiles display a comparable positive δ34S excursion, and none of the 5 sites show any type of highly negative δ34S values, despite deposition under strongly varying local environments in different basins. In addition, the paludal K-Pg boundary sites from the US Western Interior (Tanis, Dogie Creek, and Brownie Butte) are known for the preservation of a 1–3 cm thick boundary claystone that consists of a double layer microstratigraphy containing large quantities of different types of Chicxulub impact ejecta, yielding from base to top impact spherules, shocked mineral grains, and a clear iridium anomaly up to 16 ppb68,87,88. The unique preservation of this original ejecta chronology with a full platinum group element (PGE) profile at each of these terrestrial sites suggests that atmospheric processes are the dominant depositional mechanisms in the years to tens of years after impact.

Estimated total amount of impact-released sulfur

The empirical estimate of the total amount of impact-vaporized S is calculated by combining large-scale isotope dilution and mass balance calculations, using the δ34S fingerprint of the target rock evaporite (18.5 ± 1.4‰ based on Yax-1, Y6, and UNAM-5-7), as well as S concentration and δ34S profiles in well-preserved terrestrial K-Pg boundary deposition sites (Supplementary Fig. S3 in the SI). The possible post-impact processes observed in the Stevns Klint, Caravaca, Brazos River, and Kawaruppu S profiles (Fig. 2B–D and Fig. 1 in Kajiwara and Kaiho 199249) hamper the use of marine K-Pg profiles for accurate estimations of the amount of impact-released S into the atmosphere. Indeed, these processes can lead to incorrect estimations, as illustrated by the likely overestimated value for the Brazos River site provided in the current study (Fig. 4). Terrestrial K-Pg boundary sites are more likely to preserve the airborne S component and are more reliable for calculating the impact-released S. Moreover, many marine sites are stratigraphically condensed compared to more expanded terrestrial sites, providing only long-term estimates.

Fig. 4: Comparing estimates determined in current study to previously published values.
figure 4

Comparison between empirical (black triangle markers) and numerical (blue square markers) estimations of the amount of S (in Gigatonnes; Gt) vaporized following the Chicxulub impact event. The black markers represent empirical S estimations based on δ34S and S-concentration values from various K-Pg (Cretaceous-Paleogene) boundary sites, with the error bars representing 2 SD uncertainty of the values (based on digestion replicates and repeated measurements). The purple shadowed region shows the average of all these 5 K-Pg boundary sites (67 ± 39 Gt), excluding the Brazos River site due to the corresponding large uncertainties. Previously published numerical estimates (Sigurdsson et al. 199215, Brett 199234, Chen et al. 199435, Pope et al. 199422, Ivanov et al. 199636, Pierazzo et al. 199821, Artemieva et al. 201712, blue markers) are included.

The empirical estimate of the amount of impact-released S is determined based on five terrestrial K-Pg boundary depositional profiles and is estimated to be 67 ± 39 Gigatonnes (Gt) (2 SD). These sites include Tanis (58 ± 9 Gt S, 2 SD), for which bulk S concentrations and δ34S values are obtained in this study, Dogie Creek52 (48 ± 14 Gt S, 2 SD), Brownie Butte52 (104 ± 13 Gt S, 2 SD), Knudsen’s Coulee56 (71 ± 11 Gt S, 2 SD), and Knudsen’s Farm56 (57 ± 5 Gt S, 2 SD), for which the estimates are calculated using previously published52,56 bulk S concentrations and δ34S values. Although these five terrestrial sites are all located in North America within 3000–4300 km of the Chicxulub impact structure and may thus reflect a limited spread across the globe, the highly reproducible S volumes obtained for these sites (Fig. 4) support their representativeness for the global non-ballistic atmospheric fallout of S-rich ejecta components. The highly reproducible impact-released S amounts (67 ± 39 Gt, 2 SD) of these 5 sites also suggest that the airborne S component is preserved with minimal influence of post-impact processes, such as significant S isotopic fractionation during microbial reduction of the sulfate or wash-out of the sulfate.

The new empirical estimate range of 28–106 Gt S is in excellent agreement with numerical estimate ranges published in the 1990s, particularly the data reported in Chen et al. 199435 (90 Gt S), Pope et al. 199422 (35–210 Gt S), Ivanov et al. 199636 (6–106 Gt S), and Pierazzo et al. 199821 (76–127 Gt S, assuming 50% recombination of vaporized S) (Fig. 4). However, the new value is a 5-fold lower relative to the more recent numerical estimate of 325 ± 130 Gt S by Artemieva et al. 201712 considered the most reliable estimate to date (Fig. 4).

One possible explanation for the lower estimates obtained in this study in comparison to the most recent modeling estimates is the occurrence of post-depositional effects, such as large negative S isotope fractionation during microbial reduction of sulfate to form pyrite, at the terrestrial K-Pg boundary sites. These post-depositional effects may locally affect the anhydrite signal and result in an underestimation of the true amount of deposited S in mass balance calculations. However, in this case, a large spread in the estimates for the different K-Pg boundary sites examined would be expected as post-depositional effects should vary for each site. In contrast, a close match is observed between the estimated amounts of impact-released S obtained for the five localities, rendering the possibility of a local overprint unlikely. A more probable explanation is that modeling approaches overestimated the atmospheric impact-derived load of S. Large remaining sources of uncertainties include, but are not restricted to, (i) underestimating the heterogeneity of the evaporites within the target rock, (ii) underestimating the critical shock pressures needed for degassing and thus overestimating the percentage S degassed, and/or (iii) not considering recombination of S-bearing species within the impact plume. Firstly, the lack of anhydrite and gypsum in the most recent M0077A drill core, compared to previous drill cores (detailed discussion in the SI), likely illustrates a more heterogeneous distribution of evaporites within the impact structure than previously considered. To date, numerical simulations have mostly assumed a homogenous block of 22–63% anhydrite over the entire ~ 200 km impact structure. This is largely based on the distribution within the Yax-1 drill core38,39,40, which may not be representative for the whole structure and may require additional constraints from future drilling campaigns. Therefore, it reflects a considerable source of uncertainty that must be considered in future simulations. Numerical estimations to date have assumed that all evaporite in the target rock is present in the form of anhydrite. However, if a fraction of the assumed anhydrite is gypsum, less S would have been produced by decomposition (~ 21% less per gypsum molecule), leading to a possible overestimation of impact-released S in the case of all numerical estimations. For more accurate future numerical estimations, the ratio between gypsum and anhydrite in the target rock should be better constrained. As discussed previously, critical shock pressure for degassing remains an important source of uncertainty that can cause extreme over- or underestimation of S release, as observed for Sigurdsson et al. 199215 (Table 1 and Fig. 4), and must be carefully considered for all numerical estimations. Artemieva et al. 201712 did take into account possible uncertainty related to shock pressures by running simulations with ± 20 GPa compared to the normal runs, which changed the amount of impact-released S by ± 35%. This uncertainty was included in the total error of the calculated estimate (± 130 Gt S). However, this uncertainty may still reflect an underestimation if critical shock pressures differ by more than 20 GPa. Another important source of error is the occurrence of recombination effects, as previously observed for carbonates89. Based on clumped-isotope data and petrographic observations for carbonate-bearing samples in several drill cores from the Chicxulub impact structure, Kaskes et al. 202489 suggest that prior work likely overestimates the volume of impact-released CO2 due to insufficient consideration of recombination effects. Consequently, the volume of impact-released S gases into the atmosphere and transferred globally is likely also overestimated by not considering the possible recombination of the S-bearing gases with CaO within the impact plume. The better agreement between the new empirical estimate of impact-released S obtained in the current study (67 ± 39 Gt S) and the numerical estimate range of 76–127 Gt S by Pierazzo et al. 199821, in which 50 % recombination of the S-bearing gases in the impact gas plume is assumed, compared to the estimate where no recombination is considered (152–253 Gt S), supports the importance of such possible recombination effects (Fig. 4). An additional source of error for the Artemieva et al. 201712 estimate is that no equations of state were used for anhydrite, simply because they are lacking. Today, the equations of state previously used by Ivanov et al. 199636 and Pierazzo et al. 199821 are considered unreliable, and an update is needed. Overall, several lines of evidence indicate that the Chicxulub cratering event released approximately 5-fold less S into the atmosphere than the most recent numerical estimate, with the amount of S released being more comparable to the values numerically estimated in the late 1990s.

The injection of ~ 70 Gt instead of 325 Gt of S, as advocated in this study, decreases the importance of the release of S in the killing mechanism, as S aerosols consequently contributed less to the drastic short-term climate perturbation as compared to the previous paleoclimate scenarios simulated by Tabor et al. 202024 and Senel et al. 202313 using the 325 Gt S estimate from Artemieva et al. 201712. Tabor et al. 202024 proposed that the prime factor contributing to the initial extreme cold is soot, with the S agent playing a secondary role. Senel et al. 202313 instead suggest S as the main driver of the major cooling occurring during the first years of the impact winter, consistent with the finding of Brugger et al. 201728. The other impact-released climate-active agents, such as soot and dust, affect the temperature to a smaller degree, however, act at longer time scales. Following the previously published paleoclimate modeling works, using the updated, lower S estimate, the extent and duration of the initial cooling spike should decrease even in the combined scenario of sulfur components, soot, and dust. The potentially milder impact winter scenario generated by the release of 67 ± 39 Gt (2 SD) S, compared to the most recent and reliable numerical estimate by Artemieva et al. 201712, allows for a crucial ‘survival window’ for many species6,90,91,92,93,94,95,96,97,98,99,100,101,102,103, aiding in the persistence of at least 25% of species on Earth4 during the K-Pg mass extinction.

Methods

Sample materials

All samples analyzed in this study are pulverized aliquots of samples used in prior studies. In previous publications reporting on these studies, field collection, removal of external debris, homogenization, and geophysical and geochemical characterization are explained in detail9,38,42,44,58,62,68,104,105. A full overview, including sample identification and lithological information, for all the samples characterized in this study, is provided in Supplementary Tables S1 and S2 in the SI.

Bulk S concentration and S isotope ratio determination

Sample preparation and analysis—including digestion, chromatographic S isolation, S and siderophile element concentration determination, and S isotope ratio measurements—were carried out at the UGent-A&MS laboratory at Ghent University in Ghent, Belgium, and the ALS Scandinavia AB laboratory in Luleå, Sweden. All sample preparations at both labs were carried out in clean laboratory areas and followed the procedures in Rodiouchkina et al. 2023106.

To minimize the waste of precious samples, preliminary S concentrations were obtained by non-destructive micro X-ray fluorescence spectrometry (µXRF) for all sample powders, and these concentrations were relied on to select the sample weights to be used for analysis. The µXRF measurements were carried out using an M4 Tornado benchtop µXRF surface scanner (Bruker Nano GmbH, Germany) with an Rh X-ray source at the AMGC Laboratory at the Vrije Universiteit Brussel in Brussels, Belgium107,108.

For drill core samples that consisted of a large part of anhydrite (UNAM and Yax-1), sample amounts of ~ 10 mg were digested by adding 3 M HCl until no powder residue was observed. Aliquots of the sample digests were used for concentration determination. The digest was then diluted to 0.24 M HCl and loaded onto a conditioned cation exchange chromatography resin (Dowex 50W-X8), through which S, in the form of sulfate, passes, while the matrix cations are removed from the matrix by strong adsorption onto the resin. All other samples and matrix-matched elemental certified reference materials, soil (GBW07410), river sediment (NIST SRM 2704), and brick clay (NIST SRM 679), were digested using aqua regia (3:1 HCl:HNO3) in closed beakers on a 110 °C hot plate for > 24 h. Aliquots of the standard and sample digests were used for concentration determination. The digests were evaporated at 70 °C and residuals were taken up in 0.24 M HCl before S was separated from matrix cations using the cation exchange protocol mentioned above. As many of these samples have a low S content (10 to 1000 µg g−1) compared to matrix elements, the eluates were purified by submitting them to a second round of this cation exchange protocol, followed by an anion exchange chromatography protocol to separate S from residual matrix oxyanions. This protocol consisted of sulfate and other oxyanions adsorbing onto the anion exchange resin (AG-1-X8) and matrix cations passing through the column at 0.03 M HNO3, followed by sulfate elution at 0.3 M HNO3. Aliquots of all solutions were taken for S concentration determination after digestion, but also to ensure that the recovery of S was > 95% after chemical purification.

Determination of the concentrations of S and matrix elements was carried out using single-collector double-focusing inductively coupled plasma-sector field mass spectrometry (ICP-SFMS). Element XR (Thermo Fisher Scientific, Germany) instruments were used for this purpose at the UGent-A&MS laboratory and at the ALS laboratory. Sulfur isotope ratios were determined using multi-collector inductively coupled plasma-mass spectrometry (MC-ICP-MS) using a Neptune XT (Thermo Fisher Scientific, Germany) at the UGent-A&MS laboratory (determination of both δ34S and δ33S) and using a Neptune Plus, at the ALS laboratory (determination of δ34S only). In both cases, an Aridus II (Teledyne CETAC Technologies, USA) desolvating sample introduction system was used.

All S isotope ratios obtained (34S/32S and 33S/32S) are presented using the δ-notation according to Eq. 1, expressing deviations with respect to the international standard Vienna-Canyon Diablo Troilite (V-CDT) in per mil (‰). The given ‰ values are equivalent to mUr (milliUrey86). Correction for the bias caused by instrumental mass discrimination was accomplished using standard-sample bracketing and Si internal standardization106. Mass-independent anomalies are presented using the MIF tracer, Δ33S, which is calculated according to Eq. 2.

$${\delta }^{3x}S=\left(\frac{{\left({\scriptstyle{3x}\atop}\!S{/}^{32}S\right)}_{{sample}}}{{\left({\scriptstyle{3x}\atop}\!S{/}^{32}S\right)}_{V-{CDT}}}-1\right)\times 1000$$
(1)
$${\Delta }^{33}S={{{\rm{\delta }}}}^{33}S-0.515\times {{{\rm{\delta }}}}^{34}S$$
(2)

The accuracy of the δ34S values was assessed using International Atomic Energy Agency (IAEA) Ag2S reference materials S1 (δ34S = − 0.30 ‰), S2 (δ34S =  + 22.62 ‰), and S3 (δ34S = − 32.49 ‰) and both the δ34S and δ33S values using the recently produced 33S-enriched Na2SO4 standards109 S-MIF-1 (δ34S =  + 10.26 ‰, δ33S =  + 14.81 ‰, Δ33S =  + 9.54 ‰) and S-MIF-2 (δ34S =  + 21.53 ‰, δ33S =  + 22.42 ‰, Δ33S =  + 11.39 ‰). The IAEA standards were digested following the procedure described by Craddock et al. 2008110 and Rodiouchkina et al. 2023106, according to which 5 mL of 7 M HNO3 was added to the standards and the mixture was left to evaporate to dryness on a 70 °C hot plate. The dry residue was further digested using 3 mL of concentrated HNO3 and the resulting Ag in solution was precipitated using 2 mL of 6 M HCl before taking the mixture to dryness on a 70 °C hot plate again. When dry, the residuals were taken up with 0.24 M HCl and chemically purified in the same way as the samples. The MIF standards were dissolved using 0.24 M HCl and S was isolated using the same chemical purification method as used for the samples.

The expanded uncertainty (\(U\)) is calculated using the sum square approach111,112,113 according to Eq. (3), where \(k\) is the coverage factor (here, \(k=2\), confidence level of approximately 95%) and \({u}_{c}\) is the combined uncertainty of the internal precision of one measurement (\(S{D}_{{\mathrm{int}}}\)), the within-session repeatability (\(S{D}_{{within}}\)), the between-session repeatability (\(S{D}_{{between}}\)), and the repeatability between separate sample preparations (\(S{D}_{{sample\_prep}}\)). These were estimated using matrix-matched standards and by digesting at least one sample of each lithology more than once.

$$U=k\times {u}_{c}=2\times \sqrt{{{SD}}_{{int}}^{2}+{{SD}}_{{within}}^{2}+{{SD}}_{{between}}^{2}+{{SD}}_{{sample}{{\_}}{prep}}^{2}}$$
(3)

Total reduced inorganic S and sulfide isotope ratio determination

Chromium-reducible sulfur (CRS; essentially pyrite; FeS2), was extracted with hot acidic Cr(II)chloride solution (Fossing and Jørgensen, 1989114). The released H2S was precipitated as ZnS and then total reduced inorganic S (TRIS) was determined spectrophotometrically (Specord 40 spectrophotometer) following the methylene blue method115. For sulfur isotope ratio (34S/32S) determination, the ZnS was converted to Ag2S by the addition of 0.1 M AgNO3 solution with subsequent filtration, washing, and drying of the Ag2S precipitate. Isotope ratio measurements were carried out using CirmMS with a Thermo elemental analyzer connected to a Thermo Finnigan MAT 253 gas isotope ratio mass spectrometer via a Thermo ConFlo IV split interface in the BGC lab at IOW. IAEA-S1, -S2, -S3, and NBS127 isotopic reference materials were used to calibrate the mass spectrometric signals116.

Calculation of the estimated amount of impact-vaporized S

The estimated amount of impact-vaporized S is calculated by combining traditional isotope dilution and mass balance calculations. In the post-impact winter hypothesis, S-species injected into the atmosphere following the Chicxulub impact event would first distribute globally, causing cooling and darkness before they would gradually return to the Earth’s surface via dry or wet deposition processes. In bedrock with naturally low S content and a δ34S value significantly different from that of the sulfate aerosols related to vaporized target anhydrite, the global event is recorded in the impact event deposit sediments as an S offset in both the S concentration and the δ34S value. The thickness of the post-impact event deposits is dependent on the sedimentation rate, but also on the state of preservation of the record. To determine the amount of S released during the Chicxulub impact event, sediment profiles of K-Pg boundary sites outside of the impact crater were therefore investigated for possible positive offsets due to deposition of the ejected S. The K-Pg boundary sites selected all contain the classic ejecta layer, comprising markers such as impact spherules (microtektites and/or microkrystites), shocked quartz and the positive iridium anomaly62,68,117.

For example, a clear positive spike in both the S concentration and the δ34S value is observed at the terrestrial Tanis (North Dakota, USA) site (Fig. 2Eand Supplementary Fig. S3 in the SI). We assume that impact-deposited S is solely responsible for this offset and that the S concentration and δ34S value in the sediment profile before this spike represent the background values for this site, not attributable to atmospheric S deposition. These background values are, therefore, subtracted to obtain the S concentration (Eq. 4) and δ34S value (Eq. 5) stemming from post-impact atmospheric deposition at the K-Pg boundary sites. The amount of 34S-enriched impact event deposition in each sediment sample at the K-Pg boundary sites (\({C}_{{Deposit\; per\; sample}}\)) is then calculated for each profile interval by multiplying the background-corrected offset S concentration (\({C}_{K-{Pg\_site\_deposit}}\)) with the ratio of the background-corrected δ34S value related to the K-Pg boundary site (\({\delta }^{34}{S}_{K-{Pg\_site\_deposit}}\)) to that of the target anhydrites (\({\delta }^{34}{S}_{{Impact}-{target}}\)) according to Eq. 6. This amount (\({C}_{{Deposit\; per\; sample}}\)) is then multiplied by the density determined gravimetrically (or average tabulated values taken for each lithology type) at each sample point in the profile (\({\rho }_{{For\; each\; sample\; in\; profile}}\)) and subsequently integrated across the entire profile using the vertical thickness of each sample unit (\({{VL}}_{{Per\; sample}}\)) to obtain the amount of impact-deposited S collected over the entire K-Pg site profile (MDeposit over entire profile) according to Eq. 7. The total amount of impact-vaporized S is calculated by extrapolating this value to the entire surface of the Earth (\({A}_{{Earth}}\) = 510,000,000 km2), assuming equal global deposition, according to Eq. 8. The reported uncertainty on this value is expressed as 2 SD and as expanded uncertainties for the δ34S values for the target anhydrite as well as for the measured S concentration and δ34S value of the sample points in the distal site profile.

$${C}_{K-{Pg}{{\_}}{site}{{\_}}{deposit}}={C}_{K-{Pg}{{\_}}{site}{{\_}}{total}}-{C}_{K-{Pg}{{\_}}{site}{{\_}}{background}}$$
(4)
$${\delta }^{34}{S}_{K-{Pg}{{\_}}{site}{{\_}}{deposit}}={\delta }^{34}{S}_{K-{Pg}{{\_}}{site}{{\_}}{total}}-{\delta }^{34}{S}_{K-{Pg}{{\_}}{site}{{\_}}{background}}$$
(5)
$${C}_{{Deposit\; per\; sample}}={C}_{K-{Pg}{{\_}}{site}{{\_}}{deposit}}\times \frac{{\delta }^{34}{S}_{K-{Pg}{{\_}}{site}{{\_}}{deposit}}}{{\delta }^{34}{S}_{{Impact}-{target}}}$$
(6)
$${M}_{{Deposit\; over\; entire\; profile}}= \sum ({C}_{{Deposit\; per\; sample}}\times {\rho }_{{For\; each\; sample\; in\; profile}} \\ \times {{VL}}_{{Per\; sample}})$$
(7)
$${M}_{{Total\; imact}-{released}}={M}_{{Deposit\; over\; entire\; profile}}\times {A}_{{Earth}}$$
(8)