return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C4H6N2 (1H-Imidazole, 2-methyl-)

using model chemistry: B97D3/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B97D3/aug-cc-pVTZ
 hartrees
Energy at 0K-265.465553
Energy at 298.15K-265.473173
HF Energy-265.465553
Nuclear repulsion energy224.340766
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B97D3/aug-cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A 3588 3533 27.05      
2 A 3218 3168 4.88      
3 A 3188 3140 5.69      
4 A 3091 3044 4.94      
5 A 3019 2973 20.57      
6 A 2973 2928 40.91      
7 A 1548 1524 33.14      
8 A 1481 1458 2.45      
9 A 1459 1437 5.21      
10 A 1455 1433 6.29      
11 A 1394 1373 34.84      
12 A 1383 1362 2.47      
13 A 1344 1324 1.04      
14 A 1243 1224 15.69      
15 A 1150 1132 5.03      
16 A 1109 1092 2.25      
17 A 1070 1054 21.06      
18 A 1040 1024 0.53      
19 A 984 969 10.03      
20 A 943 929 2.76      
21 A 916 902 2.70      
22 A 834 821 9.88      
23 A 705 694 48.25      
24 A 673 662 7.97      
25 A 672 662 0.66      
26 A 628 618 10.04      
27 A 512 504 62.23      
28 A 341 336 5.00      
29 A 241 238 5.85      
30 A 52 51 0.36      

Unscaled Zero Point Vibrational Energy (zpe) 21127.3 cm-1
Scaled (by 0.9847) Zero Point Vibrational Energy (zpe) 20804.0 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B97D3/aug-cc-pVTZ
ABC
0.29651 0.11938 0.08649

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/aug-cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.116 -0.025 -0.000
H2 2.506 0.489 0.886
H3 2.496 -1.048 -0.001
H4 2.506 0.491 -0.885
N5 -0.165 1.052 0.000
H6 0.157 2.007 0.000
C7 0.626 -0.072 -0.000
N8 -0.123 -1.162 -0.000
C9 -1.435 -0.728 0.000
H10 -2.260 -1.427 0.000
C11 -1.488 0.643 -0.000
H12 -2.305 1.348 -0.001

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09671.09081.09672.52212.82261.49032.51043.61974.59453.66484.6289
H21.09671.77471.77162.86972.93392.15283.22834.21905.21254.09394.9668
H31.09081.77471.77473.38923.84722.10912.62113.94384.77074.32755.3653
H41.09671.77161.77472.86932.93282.15283.22894.21945.21314.09354.9661
N52.52212.86973.38922.86931.00771.37392.21362.18683.24541.38442.1604
H62.82262.93393.84722.93281.00772.13073.18063.16454.19872.13612.5479
C71.49032.15282.10912.15281.37392.13071.32242.16333.18832.23143.2568
N82.51043.22832.62113.22892.21363.18061.32241.38192.15332.26273.3257
C93.61974.21903.94384.21942.18683.16452.16331.38191.08081.37262.2515
H104.59455.21254.77075.21313.24544.19873.18832.15331.08082.20952.7757
C113.66484.09394.32754.09351.38442.13612.23142.26271.37262.20951.0793
H124.62894.96685.36534.96612.16042.54793.25683.32572.25152.77571.0793

picture of 1H-Imidazole, 2-methyl- state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C7 N5 123.371 C1 C7 N8 126.277
H2 C1 H3 108.447 H2 C1 H4 107.744
H2 C1 C7 111.742 H3 C1 H4 108.449
H3 C1 C7 108.616 H4 C1 C7 111.743
N5 C7 N8 110.352 N5 C11 C9 104.962
N5 C11 H12 122.049 H6 N5 C7 126.243
H6 N5 C11 125.765 C7 N5 C11 107.992
C7 N8 C9 106.229 N8 C9 H10 121.465
N8 C9 C11 110.465 C9 C11 H12 132.989
H10 C9 C11 128.070
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.279      
2 H 0.141      
3 H 0.148      
4 H 0.141      
5 N 0.175      
6 H -0.046      
7 C 0.044      
8 N -0.445      
9 C -0.114      
10 H 0.343      
11 C -0.456      
12 H 0.349      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.612 3.473 0.000 3.526
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.258 0.632 0.000
y 0.632 -34.815 -0.001
z 0.000 -0.001 -38.096
Traceless
 xyz
x 5.197 0.632 0.000
y 0.632 -0.138 -0.001
z 0.000 -0.001 -5.059
Polar
3z2-r2-10.118
x2-y23.557
xy0.632
xz0.000
yz-0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.194 -0.067 0.001
y -0.067 10.009 -0.001
z 0.001 -0.001 6.669


<r2> (average value of r2) Å2
<r2> 139.976
(<r2>)1/2 11.831