return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: mPW1PW91/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at mPW1PW91/aug-cc-pVTZ
 hartrees
Energy at 0K-157.232789
Energy at 298.15K-157.241937
HF Energy-157.232789
Nuclear repulsion energy127.599491
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/aug-cc-pVTZ
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 3108 2978 0.00      
2 A1 3076 2947 0.00      
3 A1 1522 1458 0.00      
4 A1 1178 1129 0.00      
5 A1 1038 995 0.00      
6 A1 203 195 0.00      
7 A2 1260 1207 0.00      
8 A2 966 926 0.00      
9 B1 1261 1208 0.00      
10 B1 1176 1126 0.00      
11 B1 963 922 0.00      
12 B2 3139 3008 88.82      
13 B2 3069 2940 10.37      
14 B2 1489 1426 4.15      
15 B2 894 857 0.00      
16 B2 628 602 2.87      
17 E 3122 2991 20.42      
17 E 3122 2991 20.42      
18 E 3070 2941 76.10      
18 E 3070 2941 76.10      
19 E 1481 1419 1.63      
19 E 1481 1419 1.63      
20 E 1293 1238 2.33      
20 E 1293 1238 2.33      
21 E 1256 1203 0.28      
21 E 1256 1203 0.28      
22 E 931 892 2.47      
22 E 931 892 2.47      
23 E 755 724 0.31      
23 E 755 724 0.31      

Unscaled Zero Point Vibrational Energy (zpe) 24391.9 cm-1
Scaled (by 0.9581) Zero Point Vibrational Energy (zpe) 23369.9 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/aug-cc-pVTZ
ABC
0.36045 0.36045 0.21395

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/aug-cc-pVTZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.075 0.130
C2 0.000 -1.075 0.130
C3 -1.075 0.000 -0.130
C4 1.075 0.000 -0.130
H5 0.000 1.393 1.173
H6 0.000 1.962 -0.502
H7 0.000 -1.393 1.173
H8 0.000 -1.962 -0.502
H9 -1.393 0.000 -1.173
H10 -1.962 0.000 0.502
H11 1.393 0.000 -1.173
H12 1.962 0.000 0.502

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.14971.54221.54221.09031.08912.67903.10172.18922.26772.18922.2677
C22.14971.54221.54222.67903.10171.09031.08912.18922.26772.18922.2677
C31.54221.54222.14972.18922.26772.18922.26771.09031.08912.67903.1017
C41.54221.54222.14972.18922.26772.18922.26772.67903.10171.09031.0891
H51.09032.67902.18922.18921.76892.78563.74953.06302.49773.06302.4977
H61.08913.10172.26772.26771.76893.74953.92362.49772.95052.49772.9505
H72.67901.09032.18922.18922.78563.74951.76893.06302.49773.06302.4977
H83.10171.08912.26772.26773.74953.92361.76892.49772.95052.49772.9505
H92.18922.18921.09032.67903.06302.49773.06302.49771.76892.78563.7495
H102.26772.26771.08913.10172.49772.95052.49772.95051.76893.74953.9236
H112.18922.18922.67901.09033.06302.49773.06302.49772.78563.74951.7689
H122.26772.26773.10171.08912.49772.95052.49772.95053.74953.92361.7689

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.372 C1 C3 H9 111.377
C1 C3 H10 118.019 C1 C4 C2 88.372
C1 C4 H11 111.377 C1 C4 H12 118.019
C2 C3 H9 111.377 C2 C3 H10 118.019
C2 C4 H11 111.377 C2 C4 H12 118.019
C3 C1 C4 88.372 C3 C1 H5 111.377
C3 C1 H6 118.019 C3 C2 C4 88.372
C3 C2 H7 111.377 C3 C2 H8 118.019
C4 C1 H5 111.377 C4 C1 H6 118.019
C4 C2 H7 111.377 C4 C2 H8 118.019
H5 C1 H6 108.520 H7 C2 H8 108.520
H9 C3 H10 108.520 H11 C4 H12 108.520
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.383      
2 C -0.383      
3 C -0.383      
4 C -0.383      
5 H 0.143      
6 H 0.240      
7 H 0.143      
8 H 0.240      
9 H 0.143      
10 H 0.240      
11 H 0.143      
12 H 0.240      


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 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.246 0.000 0.000
y 0.000 -27.246 0.000
z 0.000 0.000 -25.705
Traceless
 xyz
x -0.771 0.000 0.000
y 0.000 -0.771 0.000
z 0.000 0.000 1.541
Polar
3z2-r23.082
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.420 0.000 0.000
y 0.000 7.420 0.000
z 0.000 0.000 6.478


<r2> (average value of r2) Å2
<r2> 74.494
(<r2>)1/2 8.631