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All results from a given calculation for C4H6 (Bicyclo[1.1.0]butane)

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 C2V 1A1
Energy calculated at mPW1PW91/6-31G*
 hartrees
Energy at 0K-155.916959
Energy at 298.15K-155.923304
HF Energy-155.916959
Nuclear repulsion energy116.642643
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 A1 3296 3125 2.57      
2 A1 3209 3043 22.62      
3 A1 3103 2943 55.48      
4 A1 1566 1485 0.15      
5 A1 1334 1265 1.27      
6 A1 1130 1072 0.00      
7 A1 905 858 0.77      
8 A1 705 668 8.89      
9 A1 428 406 1.44      
10 A2 1202 1140 0.00      
11 A2 1098 1041 0.00      
12 A2 949 900 0.00      
13 A2 879 833 0.00      
14 B1 3283 3113 6.43      
15 B1 1199 1137 14.33      
16 B1 1153 1093 10.18      
17 B1 1023 970 2.63      
18 B1 781 741 69.21      
19 B2 3211 3045 14.85      
20 B2 3106 2945 43.51      
21 B2 1524 1445 0.21      
22 B2 1354 1284 0.07      
23 B2 1128 1070 0.65      
24 B2 966 917 0.08      

Unscaled Zero Point Vibrational Energy (zpe) 19265.0 cm-1
Scaled (by 0.9483) Zero Point Vibrational Energy (zpe) 18269.0 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
0.58424 0.31240 0.28183

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

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.743 0.000 -0.318
C2 -0.743 0.000 -0.318
C3 0.000 1.131 0.313
C4 0.000 -1.131 0.313
H5 1.430 0.000 -1.151
H6 -1.430 0.000 -1.151
H7 0.000 2.079 -0.220
H8 0.000 -2.079 -0.220
H9 0.000 1.232 1.401
H10 0.000 -1.232 1.401

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10
C11.48511.49271.49271.07972.32642.21032.21032.24142.2414
C21.48511.49271.49272.32641.07972.21032.21032.24142.2414
C31.49271.49272.26152.33782.33781.08823.25421.09302.6011
C41.49271.49272.26152.33782.33783.25421.08822.60111.0930
H51.07972.32642.33782.33782.85922.68972.68973.17403.1740
H62.32641.07972.33782.33782.85922.68972.68973.17403.1740
H72.21032.21031.08823.25422.68972.68974.15901.82963.6868
H82.21032.21033.25421.08822.68972.68974.15903.68681.8296
H92.24142.24141.09302.60113.17403.17401.82963.68682.4634
H102.24142.24142.60111.09303.17403.17403.68681.82962.4634

picture of Bicyclo[1.1.0]butane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 60.167 C1 C2 C4 60.167
C1 C2 H6 129.516 C1 C3 C2 59.667
C1 C3 H7 116.967 C1 C3 H9 119.391
C1 C4 C2 59.667 C1 C4 H8 116.967
C1 C4 H10 119.391 C2 C1 C3 60.167
C2 C1 C4 60.167 C2 C1 H5 129.516
C2 C3 H7 116.967 C2 C3 H9 119.391
C2 C4 H8 116.967 C2 C4 H10 119.391
C3 C1 C4 98.499 C3 C1 H5 129.985
C3 C2 C4 98.499 C3 C2 H6 129.985
C4 C1 H5 129.985 C4 C2 H6 129.985
H7 C3 H9 114.029 H8 C4 H10 114.029
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.138      
2 C -0.138      
3 C -0.384      
4 C -0.384      
5 H 0.181      
6 H 0.181      
7 H 0.174      
8 H 0.174      
9 H 0.167      
10 H 0.167      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.786 0.786
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.199 0.000 0.000
y 0.000 -23.632 0.000
z 0.000 0.000 -23.478
Traceless
 xyz
x -2.644 0.000 0.000
y 0.000 1.206 0.000
z 0.000 0.000 1.438
Polar
3z2-r22.875
x2-y2-2.567
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 4.908 0.000 0.000
y 0.000 6.282 0.000
z 0.000 0.000 5.220


<r2> (average value of r2) Å2
<r2> 62.054
(<r2>)1/2 7.877