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

using model chemistry: B3PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes CS 1A'
Energy calculated at B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-265.461222
Energy at 298.15K-265.469018
Nuclear repulsion energy225.419351
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 B3PW91/6-31G(2df,p)
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 3687 3545 45.85      
2 A 3289 3162 3.21      
3 A 3256 3130 6.38      
4 A 3166 3044 2.89      
5 A 3098 2979 15.96      
6 A 3039 2922 30.01      
7 A 1607 1545 39.02      
8 A 1530 1471 3.81      
9 A 1498 1440 4.50      
10 A 1477 1420 6.86      
11 A 1446 1390 36.08      
12 A 1416 1362 0.03      
13 A 1392 1338 1.27      
14 A 1281 1231 13.33      
15 A 1199 1153 2.54      
16 A 1142 1098 3.15      
17 A 1111 1068 26.38      
18 A 1056 1016 1.76      
19 A 1007 968 9.10      
20 A 967 930 0.88      
21 A 926 891 3.39      
22 A 860 826 9.56      
23 A 733 705 33.05      
24 A 697 670 4.04      
25 A 684 658 1.21      
26 A 647 622 14.65      
27 A 536 516 63.98      
28 A 345 331 5.04      
29 A 256 246 5.29      
30 A 89 85 0.25      

Unscaled Zero Point Vibrational Energy (zpe) 21718.9 cm-1
Scaled (by 0.9614) Zero Point Vibrational Energy (zpe) 20880.5 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 B3PW91/6-31G(2df,p)
ABC
0.29856 0.12075 0.08739

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.105 -0.024 0.000
H2 2.500 0.488 0.885
H3 2.481 -1.048 -0.001
H4 2.500 0.490 -0.884
N5 -0.166 1.047 0.000
H6 0.157 2.000 -0.001
C7 0.617 -0.070 -0.000
N8 -0.121 -1.158 -0.000
C9 -1.424 -0.725 0.000
H10 -2.249 -1.423 0.000
C11 -1.479 0.640 0.000
H12 -2.296 1.343 0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.09621.09081.09622.51062.80891.48842.49843.59814.57303.64464.6084
H21.09621.77311.76962.86402.92592.15403.21914.20165.19474.07874.9513
H31.09081.77311.77313.37563.83262.10472.60443.91854.74464.30445.3420
H41.09621.76961.77312.86332.92422.15403.21984.20205.19534.07854.9510
N52.51062.86403.37562.86331.00541.36442.20622.17403.23171.37472.1507
H62.80892.92593.83262.92421.00542.12033.17033.15054.18382.12692.5391
C71.48842.15402.10472.15401.36442.12031.31512.14403.16942.21293.2379
N82.49843.21912.60443.21982.20623.17031.31511.37322.14412.25343.3150
C93.59814.20163.91854.20202.17403.15052.14401.37321.08031.36662.2449
H104.57305.19474.74465.19533.23174.18383.16942.14411.08032.20252.7671
C113.64464.07874.30444.07851.37472.12692.21292.25341.36662.20251.0782
H124.60844.95135.34204.95102.15072.53913.23793.31502.24492.76711.0782

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 123.242 C1 C7 N8 125.922
H2 C1 H3 108.341 H2 C1 H4 107.637
H2 C1 C7 112.002 H3 C1 H4 108.343
H3 C1 C7 108.395 H4 C1 C7 112.004
N5 C7 N8 110.836 N5 C11 C9 104.946
N5 C11 H12 122.057 H6 N5 C7 126.271
H6 N5 C11 125.946 C7 N5 C11 107.783
C7 N8 C9 105.767 N8 C9 H10 121.367
N8 C9 C11 110.667 C9 C11 H12 132.996
H10 C9 C11 127.965
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.558      
2 H 0.153      
3 H 0.184      
4 H 0.153      
5 N -0.314      
6 H 0.284      
7 C 0.367      
8 N -0.316      
9 C -0.104      
10 H 0.130      
11 C -0.126      
12 H 0.148      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.532 3.487 -0.001 3.527
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.265 0.510 -0.001
y 0.510 -33.160 -0.002
z -0.001 -0.002 -36.907
Traceless
 xyz
x 4.768 0.510 -0.001
y 0.510 0.426 -0.002
z -0.001 -0.002 -5.194
Polar
3z2-r2-10.389
x2-y22.895
xy0.510
xz-0.001
yz-0.002


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.223 0.124 -0.001
y 0.124 8.142 -0.000
z -0.001 -0.000 4.565


<r2> (average value of r2) Å2
<r2> 138.039
(<r2>)1/2 11.749