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

using model chemistry: B3LYP/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no C2H 1Ag
1 2 yes CS 1A'

Conformer 1 (C2H)

Jump to S1C2
Energy calculated at B3LYP/6-31G(2df,p)
 hartrees
Energy at 0K-235.863898
Energy at 298.15K 
HF Energy-235.863898
Nuclear repulsion energy247.797166
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 B3LYP/6-31G(2df,p)
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3086 2978 0.00      
2 Ag 3052 2946 0.00      
3 Ag 3041 2935 0.00      
4 Ag 3018 2913 0.00      
5 Ag 1496 1443 0.00      
6 Ag 1492 1440 0.00      
7 Ag 1409 1360 0.00      
8 Ag 1372 1324 0.00      
9 Ag 1252 1208 0.00      
10 Ag 1116 1077 0.00      
11 Ag 957 923 0.00      
12 Ag 886 855 0.00      
13 Ag 661 638 0.00      
14 Ag 310 299 0.00      
15 Au 3087 2979 62.70      
16 Au 3042 2935 72.37      
17 Au 1499 1447 1.97      
18 Au 1472 1421 2.63      
19 Au 1292 1247 2.16      
20 Au 1160 1120 0.30      
21 Au 1006 971 2.58      
22 Au 893 862 0.01      
23 Au 258 249 0.03      
24 Au 230 222 0.07      
25 Bg 3092 2984 0.00      
26 Bg 3086 2978 0.00      
27 Bg 1496 1444 0.00      
28 Bg 1279 1235 0.00      
29 Bg 1241 1198 0.00      
30 Bg 1130 1090 0.00      
31 Bg 919 887 0.00      
32 Bg 803 775 0.00      
33 Bg 379 366 0.00      
34 Bg 253 244 0.00      
35 Bu 3100 2991 115.04      
36 Bu 3083 2975 50.90      
37 Bu 3040 2934 22.20      
38 Bu 3018 2913 58.39      
39 Bu 1495 1443 8.74      
40 Bu 1412 1362 2.89      
41 Bu 1355 1307 13.53      
42 Bu 1285 1240 0.88      
43 Bu 1197 1155 0.42      
44 Bu 1046 1009 1.58      
45 Bu 901 869 1.70      
46 Bu 786 759 1.08      
47 Bu 423 408 0.10      
48 Bu 72i 69i 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 36417.8 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 35143.1 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 B3LYP/6-31G(2df,p)
ABC
0.27418 0.07504 0.06692

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.099
C2 0.000 0.000 -1.099
C3 0.000 1.107 0.000
C4 0.000 -1.107 0.000
C5 1.189 2.059 0.000
C6 -1.189 -2.059 0.000
H7 0.885 0.000 1.743
H8 -0.885 0.000 1.743
H9 0.885 0.000 -1.743
H10 -0.885 0.000 -1.743
H11 -0.926 1.690 0.000
H12 0.926 -1.690 0.000
H13 2.137 1.506 0.000
H14 -2.137 -1.506 0.000
H15 1.183 2.705 -0.885
H16 1.183 2.705 0.885
H17 -1.183 -2.705 -0.885
H18 -1.183 -2.705 0.885

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.19711.55961.55962.61932.61931.09431.09432.97572.97572.21822.21822.83542.83543.55722.96023.55722.9602
C22.19711.55961.55962.61932.61932.97572.97571.09431.09432.21822.21822.83542.83542.96023.55722.96023.5572
C31.55961.55962.21421.52343.38202.24612.24612.24612.24611.09452.94632.17353.37542.17662.17664.08854.0885
C41.55961.55962.21423.38201.52342.24612.24612.24612.24612.94631.09453.37542.17354.08854.08852.17662.1766
C52.61932.61931.52343.38204.75552.71443.40262.71443.40262.14793.75781.09664.87551.09611.09615.39525.3952
C62.61932.61933.38201.52344.75553.40262.71443.40262.71443.75782.14794.87551.09665.39525.39521.09611.0961
H71.09432.97572.24612.24612.71443.40261.76953.48513.90863.02862.42762.62143.79903.78312.85324.30123.5112
H81.09432.97572.24612.24613.40262.71441.76953.90863.48512.42763.02863.79902.62144.30123.51123.78312.8532
H92.97571.09432.24612.24612.71443.40263.48513.90861.76953.02862.42762.62143.79902.85323.78313.51124.3012
H102.97571.09432.24612.24613.40262.71443.90863.48511.76952.42763.02863.79902.62143.51124.30122.85323.7831
H112.21822.21821.09452.94632.14793.75783.02862.42763.02862.42763.85413.06853.41722.50332.50334.49044.4904
H122.21822.21822.94631.09453.75782.14792.42763.02862.42763.02863.85413.41723.06854.49044.49042.50332.5033
H132.83542.83542.17353.37541.09664.87552.62143.79902.62143.79903.06853.41725.22801.76911.76915.43495.4349
H142.83542.83543.37542.17354.87551.09663.79902.62143.79902.62143.41723.06855.22805.43495.43491.76911.7691
H153.55722.96022.17664.08851.09615.39523.78314.30122.85323.51122.50334.49041.76915.43491.77085.90506.1648
H162.96023.55722.17664.08851.09615.39522.85323.51123.78314.30122.50334.49041.76915.43491.77086.16485.9050
H173.55722.96024.08852.17665.39521.09614.30123.78313.51122.85324.49042.50335.43491.76915.90506.16481.7708
H182.96023.55724.08852.17665.39521.09613.51122.85324.30123.78314.49042.50335.43491.76916.16485.90501.7708

picture of (1r,3r)-1,3-dimethylcyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 89.558 C1 C3 C5 116.327
C1 C3 H11 112.203 C1 C4 C2 89.558
C1 C4 C6 116.327 C1 C4 H12 112.203
C2 C3 C5 116.327 C2 C3 H11 112.203
C2 C4 C6 116.327 C2 C4 H12 112.203
C3 C1 C4 90.442 C3 C1 H7 114.488
C3 C1 H8 114.488 C3 C2 C4 90.442
C3 C2 H9 114.488 C3 C2 H10 114.488
C3 C5 H13 111.060 C3 C5 H15 111.344
C3 C5 H16 111.344 C4 C1 H7 114.488
C4 C1 H8 114.488 C4 C2 H9 114.488
C4 C2 H10 114.488 C4 C6 H14 111.060
C4 C6 H17 111.344 C4 C6 H18 111.344
C5 C3 H11 109.168 C6 C4 H12 109.168
H7 C1 H8 107.902 H9 C2 H10 107.902
H13 C5 H15 107.573 H13 C5 H16 107.573
H14 C6 H17 107.573 H14 C6 H18 107.573
H15 C5 H16 107.762 H17 C6 H18 107.762
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3LYP/6-31G(2df,p)
 hartrees
Energy at 0K-235.864885
Energy at 298.15K-235.878222
HF Energy-235.864885
Nuclear repulsion energy248.759341
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 B3LYP/6-31G(2df,p)
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' 3098 2989 113.86      
2 A' 3089 2981 19.68      
3 A' 3085 2977 26.31      
4 A' 3053 2946 15.87      
5 A' 3039 2933 8.25      
6 A' 3034 2928 12.84      
7 A' 3021 2915 30.19      
8 A' 3019 2914 25.30      
9 A' 1502 1449 7.03      
10 A' 1497 1444 0.74      
11 A' 1492 1440 1.75      
12 A' 1413 1363 2.96      
13 A' 1409 1360 0.86      
14 A' 1380 1332 0.44      
15 A' 1362 1314 13.75      
16 A' 1281 1236 0.88      
17 A' 1252 1208 0.29      
18 A' 1200 1158 0.33      
19 A' 1130 1090 0.46      
20 A' 1048 1011 1.26      
21 A' 961 928 0.95      
22 A' 942 909 0.57      
23 A' 866 835 0.81      
24 A' 798 770 0.53      
25 A' 646 623 1.37      
26 A' 426 411 0.08      
27 A' 320 309 0.08      
28 A' 89 86 0.01      
29 A" 3092 2983 33.53      
30 A" 3088 2980 11.15      
31 A" 3087 2979 25.97      
32 A" 3037 2931 70.00      
33 A" 1499 1446 2.43      
34 A" 1497 1444 0.15      
35 A" 1473 1421 1.65      
36 A" 1295 1250 1.38      
37 A" 1274 1230 0.02      
38 A" 1230 1187 0.12      
39 A" 1144 1104 0.34      
40 A" 1129 1090 0.00      
41 A" 996 961 2.43      
42 A" 905 873 0.00      
43 A" 899 868 0.03      
44 A" 807 779 0.16      
45 A" 373 360 0.01      
46 A" 258 249 0.09      
47 A" 252 244 0.00      
48 A" 235 227 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 36509.7 cm-1
Scaled (by 0.965) Zero Point Vibrational Energy (zpe) 35231.9 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 B3LYP/6-31G(2df,p)
ABC
0.26039 0.07640 0.06947

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.247 0.079 1.086
C2 0.247 0.079 -1.086
C3 -0.658 0.729 0.000
C4 0.840 -0.868 0.000
C5 -0.831 2.242 0.000
C6 0.247 -2.276 0.000
H7 0.992 0.787 1.466
H8 -0.247 -0.391 1.942
H9 0.992 0.787 -1.466
H10 -0.247 -0.391 -1.942
H11 -1.644 0.253 0.000
H12 1.932 -0.939 0.000
H13 0.142 2.747 0.000
H14 -0.848 -2.249 0.000
H15 -1.382 2.580 -0.885
H16 -1.382 2.580 0.885
H17 0.565 -2.838 -0.886
H18 0.565 -2.838 0.886

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.17211.55601.55842.64972.59381.09501.09442.75063.10382.18772.24842.88232.79253.57712.99193.53512.9410
C22.17211.55601.55842.64972.59382.75063.10381.09501.09442.18772.24842.88232.79252.99193.57712.94103.5351
C31.55601.55602.18991.52273.13882.20712.27912.20712.27911.09533.08072.17022.98382.17582.17583.87323.8732
C41.55841.55842.18993.53111.52772.21612.27612.21612.27612.72521.09423.68222.18084.19704.19702.17702.1770
C52.64972.64971.52273.53114.64532.75463.32342.75463.32342.14904.21401.09614.49061.09601.09605.34205.3420
C62.59382.59383.13881.52774.64533.47652.75143.47652.75143.15772.15085.02431.09605.19845.19841.09571.0957
H71.09502.75062.20712.21612.75463.47651.77422.93123.81213.06242.45212.59073.84033.79163.03114.34183.6957
H81.09443.10382.27912.27613.32342.75141.77423.81213.88382.47722.96983.71052.75384.25533.35163.82642.7858
H92.75061.09502.20712.21612.75463.47652.93123.81211.77423.06242.45212.59073.84033.03113.79163.69574.3418
H103.10381.09442.27912.27613.32342.75143.81213.88381.77422.47722.96983.71052.75383.35164.25532.78583.8264
H112.18772.18771.09532.72522.14903.15773.06242.47723.06242.47723.76923.06742.62452.50382.50383.90013.9001
H122.24842.24843.08071.09424.21402.15082.45212.96982.45212.96983.76924.09813.07324.91484.91482.50182.5018
H132.88232.88232.17023.68221.09615.02432.59073.71052.59073.71053.06744.09815.09261.77021.77025.67035.6703
H142.79252.79252.98382.18084.49061.09603.84032.75383.84032.75382.62453.07325.09264.93804.93801.76861.7686
H153.57712.99192.17584.19701.09605.19843.79164.25533.03113.35162.50384.91481.77024.93801.77005.75706.0232
H162.99193.57712.17584.19701.09605.19843.03113.35163.79164.25532.50384.91481.77024.93801.77006.02325.7570
H173.53512.94103.87322.17705.34201.09574.34183.82643.69572.78583.90012.50185.67031.76865.75706.02321.7716
H182.94103.53513.87322.17705.34201.09573.69572.78584.34183.82643.90012.50185.67031.76866.02325.75701.7716

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 88.530 C1 C3 C5 118.778
C1 C3 H11 109.989 C1 C4 C2 88.352
C1 C4 C6 114.373 C1 C4 H12 114.774
C2 C3 C5 118.778 C2 C3 H11 109.989
C2 C4 C6 114.373 C2 C4 H12 114.774
C3 C1 C4 89.363 C3 C1 H7 111.540
C3 C1 H8 117.557 C3 C2 C4 89.363
C3 C2 H9 111.540 C3 C2 H10 117.557
C3 C5 H13 110.875 C3 C5 H15 111.333
C3 C5 H16 111.333 C4 C1 H7 112.092
C4 C1 H8 117.106 C4 C2 H9 112.092
C4 C2 H10 117.106 C4 C6 H14 111.385
C4 C6 H17 111.095 C4 C6 H18 111.095
C5 C3 H11 109.247 C6 C4 H12 109.120
H7 C1 H8 108.268 H9 C2 H10 108.268
H13 C5 H15 107.713 H13 C5 H16 107.713
H14 C6 H17 107.601 H14 C6 H18 107.601
H15 C5 H16 107.701 H17 C6 H18 107.890
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.234      
2 C -0.234      
3 C 0.074      
4 C 0.037      
5 C -0.407      
6 C -0.388      
7 H 0.091      
8 H 0.088      
9 H 0.091      
10 H 0.088      
11 H 0.068      
12 H 0.062      
13 H 0.108      
14 H 0.112      
15 H 0.111      
16 H 0.111      
17 H 0.111      
18 H 0.111      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.020 -0.005 0.000 0.020
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.210 0.309 0.000
y 0.309 -40.315 0.000
z 0.000 0.000 -39.960
Traceless
 xyz
x 0.928 0.309 0.000
y 0.309 -0.730 0.000
z 0.000 0.000 -0.197
Polar
3z2-r2-0.395
x2-y21.105
xy0.309
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.702 -0.607 0.000
y -0.607 10.566 0.000
z 0.000 0.000 9.067


<r2> (average value of r2) Å2
<r2> 193.190
(<r2>)1/2 13.899