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All results from a given calculation for C6H12 ((1r,3r)-1,3-dimethylcyclobutane)

using model chemistry: LSDA/3-21G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 2 yes CS 1A'

Conformer 1 (C2H)

Jump to S1C2
Vibrational Frequencies calculated at LSDA/3-21G*
Rotational Constants (cm-1) from geometry optimized at LSDA/3-21G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/3-21G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at LSDA/3-21G*
 hartrees
Energy at 0K-233.261948
Energy at 298.15K-233.275339
HF Energy-233.261948
Nuclear repulsion energy250.390038
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 LSDA/3-21G*
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' 3077 3021 33.79      
2 A' 3057 3002 32.71      
3 A' 3049 2995 18.64      
4 A' 3029 2974 8.13      
5 A' 3012 2957 8.14      
6 A' 3001 2947 1.33      
7 A' 2973 2919 17.18      
8 A' 2969 2916 18.43      
9 A' 1497 1470 18.34      
10 A' 1492 1465 7.26      
11 A' 1465 1439 1.31      
12 A' 1398 1372 27.54      
13 A' 1391 1366 6.67      
14 A' 1349 1324 0.05      
15 A' 1319 1296 3.77      
16 A' 1254 1232 11.28      
17 A' 1223 1201 11.82      
18 A' 1191 1170 2.05      
19 A' 1134 1113 0.16      
20 A' 1043 1024 0.28      
21 A' 964 946 3.02      
22 A' 948 931 4.15      
23 A' 864 848 3.08      
24 A' 811 797 2.77      
25 A' 657 645 3.20      
26 A' 424 417 0.31      
27 A' 325 319 0.21      
28 A' 126 124 0.03      
29 A" 3072 3017 10.36      
30 A" 3055 3000 15.37      
31 A" 3053 2998 13.37      
32 A" 2999 2945 32.28      
33 A" 1495 1468 4.94      
34 A" 1494 1467 4.52      
35 A" 1443 1417 14.37      
36 A" 1250 1227 0.10      
37 A" 1246 1224 0.01      
38 A" 1195 1174 0.31      
39 A" 1118 1098 0.00      
40 A" 1114 1094 1.91      
41 A" 995 977 10.51      
42 A" 900 884 0.04      
43 A" 882 866 0.04      
44 A" 793 779 0.59      
45 A" 374 367 0.01      
46 A" 276 271 0.45      
47 A" 262 257 0.05      
48 A" 231 226 0.28      

Unscaled Zero Point Vibrational Energy (zpe) 36143.1 cm-1
Scaled (by 0.982) Zero Point Vibrational Energy (zpe) 35492.6 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 LSDA/3-21G*
ABC
0.25091 0.07954 0.07294

See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/3-21G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.255 0.084 1.087
C2 0.255 0.084 -1.087
C3 -0.672 0.697 0.000
C4 0.869 -0.847 0.000
C5 -0.862 2.194 0.000
C6 0.255 -2.229 0.000
H7 0.987 0.828 1.451
H8 -0.230 -0.408 1.947
H9 0.987 0.828 -1.451
H10 -0.230 -0.408 -1.947
H11 -1.650 0.181 0.000
H12 1.970 -0.909 0.000
H13 0.122 2.699 0.000
H14 -0.849 -2.159 0.000
H15 -1.420 2.522 -0.896
H16 -1.420 2.522 0.896
H17 0.565 -2.795 -0.897
H18 0.565 -2.795 0.897

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.17471.55531.55752.62332.55621.10471.10302.74443.11212.19602.26042.83472.72593.56102.96393.51052.9022
C22.17471.55531.55752.62332.55622.74443.11211.10471.10302.19602.26042.83472.72592.96393.56102.90223.5105
C31.55531.55532.18171.50893.06992.20822.28212.20822.28211.10563.09242.15352.86112.16562.16563.81223.8122
C41.55751.55752.18173.49901.51212.21922.27842.21922.27842.72051.10353.62342.16074.16994.16992.16592.1659
C52.62332.62331.50893.49904.56222.71833.31062.71833.31062.16214.20081.10584.35271.10511.10515.26635.2663
C62.55622.55623.06991.51214.56223.46212.71003.46212.71003.07242.16464.92971.10615.11665.11661.10501.1050
H71.10472.74442.20822.21922.71833.46211.80372.90223.81513.07862.46732.52053.79373.76422.99504.33783.6892
H81.10303.11212.28212.27843.31062.71001.80373.81513.89422.48082.98053.68312.69054.25203.33213.79752.7267
H92.74441.10472.20822.21922.71833.46212.90223.81511.80373.07862.46732.52053.79372.99503.76423.68924.3378
H103.11211.10302.28212.27843.31062.71003.81513.89421.80372.48082.98053.68312.69053.33214.25202.72673.7975
H112.19602.19601.10562.72052.16213.07243.07862.48083.07862.48083.78093.07902.47302.51682.51683.81713.8171
H122.26042.26043.09241.10354.20082.16462.46732.98052.46732.98053.78094.05303.08364.90544.90542.51742.5174
H132.83472.83472.15353.62341.10584.92972.52053.68312.52053.68313.07904.05304.95331.79231.79235.58415.5841
H142.72592.72592.86112.16074.35271.10613.79372.69053.79372.69052.47303.08364.95334.79934.79931.79141.7914
H153.56102.96392.16564.16991.10515.11663.76424.25202.99503.33212.51684.90541.79234.79931.79155.67545.9518
H162.96393.56102.16564.16991.10515.11662.99503.33213.76424.25202.51684.90541.79234.79931.79155.95185.6754
H173.51052.90223.81222.16595.26631.10504.33783.79753.68922.72673.81712.51745.58411.79145.67545.95181.7939
H182.90223.51053.81222.16595.26631.10503.68922.72674.33783.79753.81712.51745.58411.79145.95185.67541.7939

picture of (1r,3r)-1,3-dimethylcyclobutane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.717 C1 C3 C5 117.765
C1 C3 H11 110.087 C1 C4 C2 88.558
C1 C4 C6 112.755 C1 C4 H12 115.245
C2 C3 C5 117.765 C2 C3 H11 110.087
C2 C4 C6 112.755 C2 C4 H12 115.245
C3 C1 C4 88.996 C3 C1 H7 111.092
C3 C1 H8 117.279 C3 C2 C4 88.996
C3 C2 H9 111.092 C3 C2 H10 117.279
C3 C5 H13 109.943 C3 C5 H15 110.940
C3 C5 H16 110.940 C4 C1 H7 111.811
C4 C1 H8 116.793 C4 C2 H9 111.811
C4 C2 H10 116.793 C4 C6 H14 110.264
C4 C6 H17 110.749 C4 C6 H18 110.749
C5 C3 H11 110.634 C6 C4 H12 110.736
H7 C1 H8 109.566 H9 C2 H10 109.566
H13 C5 H15 108.318 H13 C5 H16 108.318
H14 C6 H17 108.231 H14 C6 H18 108.231
H15 C5 H16 108.297 H17 C6 H18 108.534
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/3-21G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.368      
2 C -0.368      
3 C -0.243      
4 C -0.277      
5 C -0.623      
6 C -0.602      
7 H 0.208      
8 H 0.199      
9 H 0.208      
10 H 0.199      
11 H 0.210      
12 H 0.199      
13 H 0.203      
14 H 0.208      
15 H 0.213      
16 H 0.213      
17 H 0.211      
18 H 0.211      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.065 0.038 0.000 0.075
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.381 0.353 0.000
y 0.353 -39.737 0.000
z 0.000 0.000 -39.930
Traceless
 xyz
x 0.453 0.353 0.000
y 0.353 -0.082 0.000
z 0.000 0.000 -0.371
Polar
3z2-r2-0.742
x2-y20.356
xy0.353
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.210 -0.579 0.000
y -0.579 9.686 0.000
z 0.000 0.000 8.446


<r2> (average value of r2) Å2
<r2> 187.605
(<r2>)1/2 13.697