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

using model chemistry: B3PW91/cc-pVDZ

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/cc-pVDZ
 hartrees
Energy at 0K-265.460207
Energy at 298.15K-265.467988
Nuclear repulsion energy224.786955
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/cc-pVDZ
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 3658 3530 48.54      
2 A 3289 3174 2.10      
3 A 3254 3140 6.01      
4 A 3173 3062 2.24      
5 A 3106 2997 15.58      
6 A 3040 2934 33.79      
7 A 1611 1554 36.53      
8 A 1532 1478 3.77      
9 A 1495 1443 10.57      
10 A 1452 1402 8.20      
11 A 1432 1382 29.12      
12 A 1417 1367 1.98      
13 A 1380 1331 1.19      
14 A 1278 1233 13.42      
15 A 1197 1155 2.43      
16 A 1133 1093 5.01      
17 A 1101 1063 27.39      
18 A 1043 1007 1.68      
19 A 1002 966 9.38      
20 A 960 927 1.01      
21 A 924 892 3.08      
22 A 860 830 7.88      
23 A 727 702 40.96      
24 A 693 669 3.15      
25 A 686 662 1.15      
26 A 646 623 13.39      
27 A 525 507 62.45      
28 A 346 334 4.91      
29 A 253 244 5.56      
30 A 87 84 0.11      

Unscaled Zero Point Vibrational Energy (zpe) 21649.2 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 20891.5 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/cc-pVDZ
ABC
0.29638 0.12031 0.08699

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/cc-pVDZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 2.108 -0.023 0.000
H2 2.505 0.491 0.891
H3 2.484 -1.053 -0.001
H4 2.506 0.492 -0.890
N5 -0.168 1.051 0.000
H6 0.155 2.009 -0.001
C7 0.619 -0.068 -0.000
N8 -0.119 -1.162 -0.000
C9 -1.424 -0.730 -0.000
H10 -2.254 -1.434 0.000
C11 -1.483 0.641 0.000
H12 -2.310 1.346 -0.000

Atom - Atom Distances (Å)
  C1 H2 H3 H4 N5 H6 C7 N8 C9 H10 C11 H12
C11.10261.09701.10262.51632.81781.48962.50073.60204.58443.65214.6249
H21.10261.78331.78122.87302.93662.15983.22634.21005.21054.08974.9711
H31.09701.78331.78333.38523.84702.10932.60483.92134.75334.31405.3606
H41.10261.78121.78332.87252.93482.15983.22704.21045.21114.08964.9707
N52.51632.87303.38522.87251.01111.36782.21302.17943.24421.37762.1622
H62.81782.93663.84702.93481.01112.12793.18233.16174.20202.13432.5529
C71.48962.15982.10932.15981.36782.12791.31912.14763.18122.21873.2521
N82.50073.22632.60483.22702.21303.18231.31911.37492.15282.26133.3299
C93.60204.21003.92134.21042.17943.16172.14761.37491.08811.37292.2570
H104.58445.21054.75335.21113.24424.20203.18122.15281.08812.21372.7800
C113.65214.08974.31404.08961.37762.13432.21872.26131.37292.21371.0859
H124.62494.97115.36064.97072.16222.55293.25213.32992.25702.78001.0859

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 123.388 C1 C7 N8 125.728
H2 C1 H3 108.334 H2 C1 H4 107.748
H2 C1 C7 111.993 H3 C1 H4 108.335
H3 C1 C7 108.316 H4 C1 C7 111.996
N5 C7 N8 110.884 N5 C11 C9 104.814
N5 C11 H12 122.281 H6 N5 C7 126.230
H6 N5 C11 125.937 C7 N5 C11 107.833
C7 N8 C9 105.706 N8 C9 H10 121.427
N8 C9 C11 110.763 C9 C11 H12 132.905
H10 C9 C11 127.809
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.021      
2 H 0.058      
3 H 0.071      
4 H 0.058      
5 N -0.109      
6 H 0.099      
7 C 0.052      
8 N -0.247      
9 C 0.003      
10 H 0.004      
11 C 0.011      
12 H 0.019      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.603 3.517 -0.001 3.568
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -30.697 0.532 0.000
y 0.532 -33.379 -0.004
z 0.000 -0.004 -37.380
Traceless
 xyz
x 4.683 0.532 0.000
y 0.532 0.660 -0.004
z 0.000 -0.004 -5.342
Polar
3z2-r2-10.684
x2-y22.682
xy0.532
xz0.000
yz-0.004


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> 138.861
(<r2>)1/2 11.784