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All results from a given calculation for C4H8 (cyclobutane)

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/cc-pVTZ
 hartrees
Energy at 0K-157.271408
Energy at 298.15K-157.280510
HF Energy-157.271408
Nuclear repulsion energy127.030692
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 B3LYPultrafine/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 3077 2974 0.00      
2 A1 3050 2949 0.00      
3 A1 1523 1472 0.00      
4 A1 1178 1138 0.00      
5 A1 1011 978 0.00      
6 A1 186 179 0.00      
7 A2 1265 1223 0.00      
8 A2 964 932 0.00      
9 B1 1258 1216 0.00      
10 B1 1173 1134 0.00      
11 B1 939 908 0.00      
12 B2 3108 3005 105.09      
13 B2 3044 2943 9.51      
14 B2 1492 1443 3.18      
15 B2 886 856 0.00      
16 B2 638 617 2.51      
17 E 3090 2987 20.59      
17 E 3090 2987 20.59      
18 E 3045 2944 83.52      
18 E 3045 2944 83.52      
19 E 1485 1436 0.91      
19 E 1485 1436 0.91      
20 E 1289 1247 1.36      
20 E 1289 1247 1.36      
21 E 1250 1209 0.32      
21 E 1250 1209 0.32      
22 E 911 881 2.23      
22 E 911 881 2.23      
23 E 753 728 0.20      
23 E 753 728 0.20      

Unscaled Zero Point Vibrational Energy (zpe) 24220.7 cm-1
Scaled (by 0.9667) Zero Point Vibrational Energy (zpe) 23414.2 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 B3LYPultrafine/cc-pVTZ
ABC
0.35724 0.35724 0.21105

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/cc-pVTZ

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 1.083 0.122
C2 0.000 -1.083 0.122
C3 -1.083 0.000 -0.122
C4 1.083 0.000 -0.122
H5 0.000 1.424 1.158
H6 0.000 1.956 -0.529
H7 0.000 -1.424 1.158
H8 0.000 -1.956 -0.529
H9 -1.424 0.000 -1.158
H10 -1.956 0.000 0.529
H11 1.424 0.000 -1.158
H12 1.956 0.000 0.529

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12
C12.16551.55071.55071.09031.08932.71263.10772.20012.27232.20012.2723
C22.16551.55071.55072.71263.10771.09031.08932.20012.27232.20012.2723
C31.55071.55072.16552.20012.27232.20012.27231.09031.08932.71263.1077
C41.55071.55072.16552.20012.27232.20012.27232.71263.10771.09031.0893
H51.09032.71262.20012.20011.76832.84893.77783.06932.50023.06932.5002
H61.08933.10772.27232.27231.76833.77783.91202.50022.96142.50022.9614
H72.71261.09032.20012.20012.84893.77781.76833.06932.50023.06932.5002
H83.10771.08932.27232.27233.77783.91201.76832.50022.96142.50022.9614
H92.20012.20011.09032.71263.06932.50023.06932.50021.76832.84893.7778
H102.27232.27231.08933.10772.50022.96142.50022.96141.76833.77783.9120
H112.20012.20012.71261.09033.06932.50023.06932.50022.84893.77781.7683
H122.27232.27233.10771.08932.50022.96142.50022.96143.77783.91201.7683

picture of cyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.571 C1 C3 H9 111.641
C1 C3 H10 117.733 C1 C4 C2 88.571
C1 C4 H11 111.641 C1 C4 H12 117.733
C2 C3 H9 111.641 C2 C3 H10 117.733
C2 C4 H11 111.641 C2 C4 H12 117.733
C3 C1 C4 88.571 C3 C1 H5 111.641
C3 C1 H6 117.733 C3 C2 C4 88.571
C3 C2 H7 111.641 C3 C2 H8 117.733
C4 C1 H5 111.641 C4 C1 H6 117.733
C4 C2 H7 111.641 C4 C2 H8 117.733
H5 C1 H6 108.446 H7 C2 H8 108.446
H9 C3 H10 108.446 H11 C4 H12 108.446
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.172      
2 C -0.172      
3 C -0.172      
4 C -0.172      
5 H 0.084      
6 H 0.088      
7 H 0.084      
8 H 0.088      
9 H 0.084      
10 H 0.088      
11 H 0.084      
12 H 0.088      


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 -27.560 0.000 0.000
y 0.000 -27.560 0.000
z 0.000 0.000 -26.053
Traceless
 xyz
x -0.753 0.000 0.000
y 0.000 -0.753 0.000
z 0.000 0.000 1.507
Polar
3z2-r23.014
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 7.158 0.000 0.000
y 0.000 7.158 0.000
z 0.000 0.000 6.370


<r2> (average value of r2) Å2
<r2> 75.297
(<r2>)1/2 8.677