Table 1 The wavenumber, bond length and electron density (in σ*X−H) changes of the X−H bonds in apigenin−H2O complexes from different complexes to monomers at the B3LYP/6−31 + + G(d, p), M062X/6−31 + + G(d, p) and MP2/6−31 + + G(d, p) levels.

From: Hydrogen-bonding Interactions between Apigenin and Ethanol/Water: A Theoretical Study

 

bond

wavenumber

bond length

electron density

B3LYP

M062X

MP2

B3LYP

M062X

MP2

B3LYP

M062X

Apigenin (I)−H2O

A

O2−H9

−234

−255

−264

0.012

0.014

0.014

0.031

0.027

B

O5−H3

−226

−245

−255

0.011

0.012

0.013

0.030

0.026

C

O3−H7

−224

−233

−245

0.011

0.012

0.011

0.031

0.027

D

O−H

−41

−39

−38

0.008

0.007

0.007

0.019

0.016

 

C8−H6

−0.6

−0.7

−0.8

9E−05

9E−05

9E−05

0.003

0.003

E

O−H

−39

−38

−36

0.004

0.003

0.003

0.009

0.007

F

O−H

−27

−25

−23

0.002

0.002

0.002

0.006

0.005

 

C12−H8

−2

−2

−2

3E−04

4E−04

4E−04

0.004

0.003

G

O−H

−25

−22

−20

0.002

0.002

0.002

0.004

0.004

 

C14−H10

−3

−3

−3

1E−05

1E−05

1E−05

0.003

0.003

H

O−H

−29

−27

−25

0.002

0.002

0.002

0.006

0.005

Apigenin (II)−H2O

A

O5−H3

−234

−245

−250

0.012

0.014

0.014

0.030

0.026

B

O2−H9

−231

−240

−248

0.012

0.014

0.014

0.030

0.026

C

C8−H6

−2

−3

−4

3E−04

3E−04

4E−04

0.003

0.003

C

O−H

−39

−37

−36

0.007

0.007

0.007

0.030

0.025

D

C12−H8

−10

−12

−13

0.001

0.001

0.002

0.002

0.001

D

O−H

−34

−33

−31

0.003

0.003

0.002

0.017

0.014

E

C14−H10

−0.3

−0.4

−0.5

2E−04

2E−04

2E−04

0.003

0.002

E

O−H

−27

−26

−24

0.002

0.002

0.002

0.015

0.012

F

O−H

−25

−25

−23

0.002

0.002

0.002

0.012

0.010

G

O−H

−22

−21

−20

0.001

0.001

0.001

0.011

0.006

  1. The non-numbered hydrogen and oxygen atoms are the corresponding atoms in H2O.
  2. The wavenumber change of O−H in H2O is an asymmetrical stretching vibration.