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

using model chemistry: B97D3/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B97D3/6-31+G**
 hartrees
Energy at 0K-265.386450
Energy at 298.15K-265.393970
HF Energy-265.386450
Nuclear repulsion energy223.503332
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 B97D3/6-31+G**
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 3599 3537 28.21      
2 A 3233 3178 6.22      
3 A 3204 3149 6.72      
4 A 3107 3054 5.31      
5 A 3035 2983 22.64      
6 A 2981 2929 46.05      
7 A 1556 1529 35.69      
8 A 1486 1460 3.32      
9 A 1465 1440 3.96      
10 A 1460 1435 8.61      
11 A 1402 1378 42.82      
12 A 1389 1365 0.64      
13 A 1354 1331 0.48      
14 A 1248 1227 16.08      
15 A 1163 1143 5.40      
16 A 1110 1091 3.77      
17 A 1078 1059 23.60      
18 A 1036 1019 0.62      
19 A 983 966 9.55      
20 A 943 927 2.69      
21 A 912 897 2.77      
22 A 817 803 13.92      
23 A 689 677 48.46      
24 A 671 660 0.60      
25 A 661 650 13.65      
26 A 620 609 14.61      
27 A 486 478 66.64      
28 A 341 335 5.14      
29 A 236 232 6.52      
30 A 40 39 0.29      

Unscaled Zero Point Vibrational Energy (zpe) 21152.3 cm-1
Scaled (by 0.9828) Zero Point Vibrational Energy (zpe) 20788.5 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 B97D3/6-31+G**
ABC
0.29364 0.11866 0.08588

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-31+G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.122 -0.024 0.000
H2 2.516 0.490 0.890
H3 2.500 -1.051 -0.001
H4 2.516 0.492 -0.889
N5 -0.167 1.056 -0.000
H6 0.157 2.015 -0.001
C7 0.628 -0.071 -0.000
N8 -0.122 -1.168 -0.000
C9 -1.438 -0.733 -0.000
H10 -2.264 -1.435 -0.000
C11 -1.494 0.647 0.000
H12 -2.314 1.353 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.10051.09471.10052.53102.83191.49532.51943.62984.60763.67744.6452
H21.10051.78011.77912.88272.94702.16153.24054.23305.22924.11014.9868
H31.09471.78011.78023.39903.85912.11352.62513.95054.77934.33955.3812
H41.10051.77911.78022.88202.94562.16153.24114.23335.22974.11004.9865
N52.53102.88273.39902.88201.01171.37902.22452.19463.25661.38882.1680
H62.83192.94703.85912.94561.01172.13833.19493.17684.21452.14392.5582
C71.49532.16152.11352.16151.37902.13831.32892.16883.19732.23933.2684
N82.51943.24052.62513.24112.22453.19491.32891.38522.15802.27413.3404
C93.62984.23303.95054.23332.19463.17682.16881.38521.08441.38042.2625
H104.60765.22924.77935.22973.25664.21453.19732.15801.08442.21952.7885
C113.67744.11014.33954.11001.38882.14392.23932.27411.38042.21951.0829
H124.64524.98685.38124.98652.16802.55823.26843.34042.26252.78851.0829

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 123.593 C1 C7 N8 126.332
H2 C1 H3 108.339 H2 C1 H4 107.860
H2 C1 C7 111.895 H3 C1 H4 108.340
H3 C1 C7 108.395 H4 C1 C7 111.897
N5 C7 N8 110.075 N5 C11 C9 104.856
N5 C11 H12 122.274 H6 N5 C7 125.965
H6 N5 C11 125.763 C7 N5 C11 108.272
C7 N8 C9 106.441 N8 C9 H10 121.556
N8 C9 C11 110.356 C9 C11 H12 132.871
H10 C9 C11 128.087
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.807      
2 H 0.167      
3 H 0.195      
4 H 0.167      
5 N -0.354      
6 H 0.302      
7 C 0.437      
8 N -0.273      
9 C -0.035      
10 H 0.133      
11 C -0.078      
12 H 0.146      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.593 3.623 -0.000 3.672
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.999 0.672 -0.001
y 0.672 -34.787 -0.001
z -0.001 -0.001 -38.542
Traceless
 xyz
x 5.665 0.672 -0.001
y 0.672 -0.017 -0.001
z -0.001 -0.001 -5.648
Polar
3z2-r2-11.297
x2-y23.788
xy0.672
xz-0.001
yz-0.001


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 11.377 -0.060 0.000
y -0.060 9.577 0.000
z 0.000 0.000 6.189


<r2> (average value of r2) Å2
<r2> 140.848
(<r2>)1/2 11.868