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

using model chemistry: mPW1PW91/6-31G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at mPW1PW91/6-31G**
 hartrees
Energy at 0K-265.484641
Energy at 298.15K-265.492438
Nuclear repulsion energy225.511836
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 mPW1PW91/6-31G**
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 3717 3537 49.98      
2 A 3320 3159 2.68      
3 A 3287 3127 6.49      
4 A 3198 3043 2.74      
5 A 3132 2980 17.11      
6 A 3069 2920 29.63      
7 A 1633 1554 39.79      
8 A 1554 1479 5.40      
9 A 1522 1449 5.92      
10 A 1499 1426 8.50      
11 A 1469 1398 39.13      
12 A 1440 1370 0.30      
13 A 1413 1345 1.15      
14 A 1298 1235 15.19      
15 A 1216 1157 2.94      
16 A 1153 1097 3.87      
17 A 1122 1068 28.78      
18 A 1065 1014 2.21      
19 A 1018 968 8.04      
20 A 978 930 1.07      
21 A 933 888 2.99      
22 A 869 827 8.97      
23 A 736 701 39.29      
24 A 697 663 3.92      
25 A 689 655 1.22      
26 A 650 618 15.45      
27 A 532 507 78.04      
28 A 349 332 5.42      
29 A 255 243 6.05      
30 A 83 79 0.21      

Unscaled Zero Point Vibrational Energy (zpe) 21946.6 cm-1
Scaled (by 0.9515) Zero Point Vibrational Energy (zpe) 20882.2 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 mPW1PW91/6-31G**
ABC
0.29871 0.12087 0.08746

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.104 -0.022 0.000
H2 2.499 0.487 0.885
H3 2.476 -1.046 -0.000
H4 2.499 0.488 -0.884
N5 -0.168 1.048 0.000
H6 0.155 2.000 -0.001
C7 0.617 -0.068 -0.000
N8 -0.118 -1.157 -0.000
C9 -1.421 -0.727 -0.000
H10 -2.244 -1.425 0.000
C11 -1.480 0.638 0.000
H12 -2.302 1.336 -0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09441.08901.09452.51162.80941.48822.49563.59484.56933.64484.6106
H21.09441.77041.76892.86472.92732.15233.21494.19755.19004.07874.9544
H31.08901.77041.77043.37273.83012.10082.59673.90994.73564.29985.3386
H41.09451.76891.77042.86472.92612.15233.21524.19775.19034.07874.9543
N52.51162.86473.37272.86471.00551.36432.20612.17293.22971.37482.1532
H62.80942.92733.83012.92611.00552.11953.16973.14994.18242.12782.5447
C71.48822.15232.10082.15231.36432.11951.31422.14153.16682.21273.2386
N82.49563.21492.59673.21522.20613.16971.31421.37182.14292.25383.3142
C93.59484.19753.90994.19772.17293.14992.14151.37181.07981.36682.2432
H104.56935.19004.73565.19033.22974.18243.16682.14291.07982.20092.7620
C113.64484.07874.29984.07871.37482.12782.21272.25381.36682.20091.0777
H124.61064.95445.33864.95432.15322.54473.23863.31422.24322.76201.0777

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 125.766
H2 C1 H3 108.354 H2 C1 H4 107.825
H2 C1 C7 111.992 H3 C1 H4 108.352
H3 C1 C7 108.207 H4 C1 C7 111.994
N5 C7 N8 110.886 N5 C11 C9 104.850
N5 C11 H12 122.336 H6 N5 C7 126.190
H6 N5 C11 126.041 C7 N5 C11 107.769
C7 N8 C9 105.728 N8 C9 H10 121.417
N8 C9 C11 110.768 C9 C11 H12 132.814
H10 C9 C11 127.816
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.460      
2 H 0.148      
3 H 0.180      
4 H 0.148      
5 N -0.558      
6 H 0.287      
7 C 0.460      
8 N -0.490      
9 C -0.015      
10 H 0.124      
11 C 0.035      
12 H 0.142      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.521 3.592 -0.002 3.630
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.976 0.531 -0.000
y 0.531 -33.280 -0.005
z -0.000 -0.005 -37.228
Traceless
 xyz
x 5.278 0.531 -0.000
y 0.531 0.322 -0.005
z -0.000 -0.005 -5.600
Polar
3z2-r2-11.200
x2-y23.304
xy0.531
xz-0.000
yz-0.005


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> 137.966
(<r2>)1/2 11.746