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

using model chemistry: mPW1PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-311G*
 hartrees
Energy at 0K-265.529250
Energy at 298.15K-265.537067
Nuclear repulsion energy225.768636
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 mPW1PW91/6-311G*
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 3705 3536 36.76      
2 A 3298 3148 5.82      
3 A 3267 3118 8.22      
4 A 3177 3032 5.24      
5 A 3109 2967 23.30      
6 A 3055 2916 36.35      
7 A 1631 1556 43.99      
8 A 1546 1475 3.59      
9 A 1522 1452 3.11      
10 A 1505 1436 9.82      
11 A 1466 1399 43.67      
12 A 1438 1373 0.88      
13 A 1411 1347 0.64      
14 A 1298 1239 14.66      
15 A 1209 1154 3.78      
16 A 1150 1097 5.27      
17 A 1121 1070 29.12      
18 A 1072 1023 1.57      
19 A 1019 973 9.46      
20 A 979 934 2.13      
21 A 938 895 2.98      
22 A 862 822 12.62      
23 A 728 695 44.93      
24 A 699 667 12.14      
25 A 690 658 1.08      
26 A 653 623 15.78      
27 A 543 518 78.27      
28 A 348 332 5.36      
29 A 255 243 6.42      
30 A 86 82 0.22      

Unscaled Zero Point Vibrational Energy (zpe) 21887.3 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 20889.3 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 mPW1PW91/6-311G*
ABC
0.29973 0.12105 0.08764

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G*

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -2.102 -0.023 0.000
H2 -2.497 0.487 -0.883
H3 -2.478 -1.044 -0.001
H4 -2.497 0.486 0.884
N5 0.167 1.047 0.000
H6 -0.152 1.999 -0.000
C7 -0.617 -0.069 0.000
N8 0.119 -1.154 -0.000
C9 1.420 -0.726 0.000
H10 2.241 -1.428 0.000
C11 1.479 0.637 -0.000
H12 2.299 1.335 0.001

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09371.08791.09372.50902.80941.48632.49233.59204.56433.64134.6064
H21.09371.76731.76682.86242.92692.15083.21194.19525.18594.07564.9506
H31.08791.76731.76733.37143.83012.10112.59843.91074.73364.29865.3367
H41.09371.76681.76732.86312.92812.15093.21174.19515.18574.07624.9509
N52.50902.86243.37142.86311.00441.36322.20142.17093.22811.37382.1514
H62.80942.92693.83012.92811.00442.11923.16473.14614.17912.12442.5393
C71.48632.15082.10112.15091.36322.11921.31112.14043.16392.21103.2363
N82.49233.21192.59843.21172.20143.16471.31111.37022.13952.24923.3096
C93.59204.19523.91074.19512.17093.14612.14041.37021.07931.36462.2412
H104.56435.18594.73365.18573.22814.17913.16392.13951.07932.20092.7637
C113.64134.07564.29864.07621.37382.12442.21102.24921.36462.20091.0775
H124.60644.95065.33674.95092.15142.53933.23633.30962.24122.76371.0775

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 123.347 C1 C7 N8 125.864
H2 C1 H3 108.218 H2 C1 H4 107.750
H2 C1 C7 112.051 H3 C1 H4 108.209
H3 C1 C7 108.423 H4 C1 C7 112.057
N5 C7 N8 110.789 N5 C11 C9 104.887
N5 C11 H12 122.262 H6 N5 C7 126.370
H6 N5 C11 125.868 C7 N5 C11 107.762
C7 N8 C9 105.905 N8 C9 H10 121.263
N8 C9 C11 110.656 C9 C11 H12 132.851
H10 C9 C11 128.080
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.733      
2 H 0.235      
3 H 0.264      
4 H 0.235      
5 N -0.572      
6 H 0.358      
7 C 0.406      
8 N -0.344      
9 C -0.194      
10 H 0.200      
11 C -0.072      
12 H 0.218      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.520 3.640 0.001 3.677
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.535 -0.560 0.002
y -0.560 -33.603 -0.001
z 0.002 -0.001 -37.891
Traceless
 xyz
x 5.212 -0.560 0.002
y -0.560 0.611 -0.001
z 0.002 -0.001 -5.822
Polar
3z2-r2-11.645
x2-y23.067
xy-0.560
xz0.002
yz-0.001


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


<r2> (average value of r2) Å2
<r2> 138.064
(<r2>)1/2 11.750