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: wB97X-D/CEP-121G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at wB97X-D/CEP-121G*
 hartrees
Energy at 0K-27.420986
Energy at 298.15K-27.430053
HF Energy-27.420986
Nuclear repulsion energy71.310701
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 wB97X-D/CEP-121G*
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 3102 3102 0.00      
2 A1 3072 3072 0.00      
3 A1 1536 1536 0.00      
4 A1 1173 1173 0.00      
5 A1 1032 1032 0.00      
6 A1 171 171 0.00      
7 A2 1260 1260 0.00      
8 A2 970 970 0.00      
9 B1 1264 1264 0.00      
10 B1 1190 1190 0.00      
11 B1 967 967 0.00      
12 B2 3134 3134 160.03      
13 B2 3059 3059 15.74      
14 B2 1492 1492 3.62      
15 B2 882 882 0.00      
16 B2 627 627 2.52      
17 E 3115 3115 28.49      
17 E 3115 3115 28.49      
18 E 3063 3063 112.49      
18 E 3063 3063 112.49      
19 E 1491 1491 0.66      
19 E 1491 1491 0.66      
20 E 1303 1303 1.92      
20 E 1303 1303 1.92      
21 E 1256 1256 0.05      
21 E 1256 1256 0.05      
22 E 931 931 3.60      
22 E 931 931 3.60      
23 E 748 748 0.38      
23 E 748 748 0.38      

Unscaled Zero Point Vibrational Energy (zpe) 24371.4 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 24371.4 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 wB97X-D/CEP-121G*
ABC
0.35349 0.35349 0.20903

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/CEP-121G*

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.088 0.124
C2 0.000 -1.088 0.124
C3 -1.088 0.000 -0.124
C4 1.088 0.000 -0.124
H5 0.000 1.426 1.168
H6 0.000 1.968 -0.529
H7 0.000 -1.426 1.168
H8 0.000 -1.968 -0.529
H9 -1.426 0.000 -1.168
H10 -1.968 0.000 0.529
H11 1.426 0.000 -1.168
H12 1.968 0.000 0.529

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.17631.55891.55891.09651.09562.72203.12502.21062.28472.21062.2847
C22.17631.55891.55892.72203.12501.09651.09562.21062.28472.21062.2847
C31.55891.55892.17632.21062.28472.21062.28471.09651.09562.72203.1250
C41.55891.55892.17632.21062.28472.21062.28472.72203.12501.09651.0956
H51.09652.72202.21062.21061.78072.85193.79413.08552.51283.08552.5128
H61.09563.12502.28472.28471.78073.79413.93572.51282.97702.51282.9770
H72.72201.09652.21062.21062.85193.79411.78073.08552.51283.08552.5128
H83.12501.09562.28472.28473.79413.93571.78072.51282.97702.51282.9770
H92.21062.21061.09652.72203.08552.51283.08552.51281.78072.85193.7941
H102.28472.28471.09563.12502.51282.97702.51282.97701.78073.79413.9357
H112.21062.21062.72201.09653.08552.51283.08552.51282.85193.79411.7807
H122.28472.28473.12501.09562.51282.97702.51282.97703.79413.93571.7807

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.539 C1 C3 H9 111.527
C1 C3 H10 117.729 C1 C4 C2 88.539
C1 C4 H11 111.527 C1 C4 H12 117.729
C2 C3 H9 111.527 C2 C3 H10 117.729
C2 C4 H11 111.527 C2 C4 H12 117.729
C3 C1 C4 88.539 C3 C1 H5 111.527
C3 C1 H6 117.729 C3 C2 C4 88.539
C3 C2 H7 111.527 C3 C2 H8 117.729
C4 C1 H5 111.527 C4 C1 H6 117.729
C4 C2 H7 111.527 C4 C2 H8 117.729
H5 C1 H6 108.648 H7 C2 H8 108.648
H9 C3 H10 108.648 H11 C4 H12 108.648
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/CEP-121G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.337      
2 C -0.337      
3 C -0.337      
4 C -0.337      
5 H 0.162      
6 H 0.175      
7 H 0.162      
8 H 0.175      
9 H 0.162      
10 H 0.175      
11 H 0.162      
12 H 0.175      


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 -27.055 0.000 0.000
y 0.000 -27.055 0.000
z 0.000 0.000 -25.450
Traceless
 xyz
x -0.802 0.000 0.000
y 0.000 -0.802 0.000
z 0.000 0.000 1.605
Polar
3z2-r23.210
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 6.863 0.000 0.000
y 0.000 6.863 0.000
z 0.000 0.000 6.301


<r2> (average value of r2) Å2
<r2> 65.952
(<r2>)1/2 8.121