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Gas phase electronic spectra of
linear carbon chains:
HCn+1H, HCnH , HCn+1 , HCn
Felix Güthe1,
Hongbin Ding, Thomas Pino3,
Tim W. Schmidt4, Andrei Boguslavskiy
John Maier
Institut für Physikalische Chemie der Universität Basel, Basel, Switzerland
1 abcd Switzerland Ltd., Baden, Switzerland
2 Institut für Physikalische Chemie der Universität Basel, Basel, Switzerland
3 Laboratoire de Photophysique Moleculaire, Universite Paris-Sud, Orsay, France
4 Sydney University, Sydney, Australia
Bunsentagung , Dresden 2004
Nanowires
hypothetical new allotrope
molecular wire
precursor nano tubes, fullerenes etc.
interstellar molecules
hypothetical new allotrope
diamond:
sp3
graphite:
sp2
“polyyne”:
sp
optical properties:
transition n-> ∞∞
band gap bulk behaviour
optical properties:
band gaps
absorption in the ISM
->spectroscopy
taken from:
http://cfa-www.harvard.edu/cfa/mmw/mmwlab/ismmolecules_organic.html
Interstellar molecules
Flames
K.-H. Homman, Angew. Chem. 1998, 110, 2572; Angew. Chem. Int. Ed. Engl. 1998,
37, 2435;
Pulsed Electrical Discharge
Picture : H. Linnartz
Experiment
Resonant Two Photon Ionization Spectroscopy
1
1% C 2H2 in Ar
+
- Cn
p ~ 10 bar
U
2
Cn+ + e 2 fixed
Cn*
1 scanned
C n+
2= 157 nm, 189nm, 212nm
Cn
Mass spectrum
C4H2- Discharge source
C10
C20
C30
C40
C50
C60
C70
C80
C90
C100
C110
0
C114
Intensity
-2
C60
C44
C24
-4
C25
-6
C4H2
C24Hm
-8
120
240
360
480
600
720
840
Masse (a.m.u.)
960
1080
1200
1320
electronic transitions- HC2nH
HC2nH
(4n)s
(n+ 1)p
S- S
S- D
(n)p
(4n-1)s
excitations: 1S+g
→→
(n)pu/ (n-1)pg →→ (n)pg/u:
(n)pu/ (n-1)pg →→ (n)pg/u:
(n)pu/ (n-1)pg →→ (4n)sg/u :
(4n-1)sg/u
→→ (n)pg/u:
(n-1)p
1 +
XS
g
~
2
4
2
4
4
(2n)sg (n-1)pg (n)pu for n = even
4
(2n)su (n-1)pu (n-1)pg for n = odd
levels have alternating symmetries g and u
A1Du
B1S+u
1P
u
1P
u
R2CPI-spectra of acetylenic chains
HC2nH(n=8-13): 1S+g
→→1S+u
HC26H
HC24H
HC22H
HC20H
HC18H
HC16H
280
290
300
310
320
330
Wavelength (nm)
340
350
360
D states: HC6H, HC8H, HC10H, HC12H, HC14H
HC2nH(n=3-7):1S+g→→1Du, 1S-u dipole-forbidden (np bending)
280 290 300 310 320 330 340 350 360 370 380 390 400 410 420 430 440
1
170
HC14H
1
HC12H
1
40 140
1
1
HC10H 30140
1 1
1
4060140
2
1
140160
1
1
140
1
140
1
20120
HC8H
1
120
1
80
HC6H
280 290 300 310 320 330 340 350 360 370 380 390 400 410 420 430 440
Wavelength (nm)
Observed and Calculated Values
12
HC2nH
1
Transition energy (eV)
1
+
C Pu-X Sg (CASSCF)
10
1
1
+
C Pu-X Sg (Exp.)
8
1
+
1
+
B Su -X Sg (CASSCF)
6
1
+
1
+
B Su -X Sg (Exp.)
4
2
1
1
1
1
-
1
+
A Du( Su )-X Sg (CASSCF)
+
A Du-X Sg (Exp.)
0
0
4
8
12
16
20
24
28
Number of carbon atoms
strong B-transiton!
electronic transitions- HC2n+1H
HC2n+ 1H
(4n)s
(n+ 1)p
excitations: 3S-g
(n-1)pg/ (n-1)pu
(n)pu/ (n-1)pg
(n)pu/ (n-1)pg
→→
→→ (n)pu/ (n-1)pg: a3S-u
→→ (n)pg/u:
b3S-u
→→ (4n+4)sg/u : C3Pu
(n)p
(n-1)p
(4n-1)s
1 -
XSg ~
2
4
2
4
2
(2n)sg (n-1)pg (n)pu for n = even
mixing of degenerate a(3S-u) and b(3S-u)
yields
A(3S-u )=
a+b/sqrt(2)
B(3S-u )=
a-b/sqrt(2)
2
(2n)su (n-1)pu (n-1)pg for n = odd
levels have alternating symmetries g and u
Dewar-Longuet-Higgins (1954, Proc. Phys. Soc.) on odd
alternant hydrocarbons:
• A occurs at longer wavelength and is weaker than B
• B must be the strongest transition
2
2
30
3
30
*
*
2
30 *
1
1
*
HC11H
00
*
750
0
00
0
*
725
700
675
40
30
30
*
0
00
1
40
HC13H
650
625
600
575
550
525
500
475
450
The HC2n+1H Series: HC7H, HC9H, HC11H, HC13H
HC2n+1H(n=3-6): X 3S-g →→ A 3S-u,
HC9H
*~ fragment: HC9H2-H
1
0
20
00
0
1
20+2nb
1
1
40
1
20+40
23000
22000
21000
20000
19000
18000
2nb
00
1'
2'
2na
17000
-1 16000
Wavenumber (cm )
15000
HC7H
3'
14000
13000
HC13H ... HC19H: X 3S-g →→ B 3S-u,
28800
29000
29200
29400
29600
29800
30000
30200
0
00
HC19H
strong B-transiton
HC19H is weak in mass spectrum,
but still visible
0
00
HC13H
C-X (CASSCF)
10
C-X (MRCI)
9
35000
35200
35400
35600
35800
-1
Wavenumbers (cm )
36000
36200
Transition energies (eV)
34800
8
7
B-X (CASSCF)
6
B-X (MRCI)
5
3
-
3
-
B Su -X Sg (Gas phase)
A-X (MRCI)
4
A-X (CASSCF)
3
-
3
-
A Su -X Sg (Matrix & gas phase)
3
2
5
MRCI: Mühlhäuser, Peyerimhoff et al. (2002)
7
9
11
13
15
Number of carbon atoms
17
19
HC13H ... HC19H: X 3S-g →→ B 3S-u,
12
B-X (CASSCF)
Oscillator strength
10
8
6
B-X (MRCI)
4
A-X (MRCI)
C-X (CASSCF)
2
X1000
A-X (CASSCF)
X100
X100
X1000
0
C-X (MRCI)
5
7
9
11
13
15
Number of carbon atoms
as predicited in 1954 !
17
19
extrapolation to C
HC2nH (even):
70000
1 + 1 -
1 +
Du, Su¬ Sg:
-1
60000
E (cm )= 17100+97004/N ~585nm
1 +
1 +
Su ¬ Sg :
-1
E (cm )= 20068+244590/N ~498nm
-1
E (cm )
50000
40000
30000
20000
HC2n+1H (odd):
3 -
3 -
Su¬ Sg:
-1
E (cm )= 7152+89094/N ~1398nm
3 3 Su¬ Sg:
10000
-1
E (cm )= 17608+232392/N ~567nm
0
60
56
52
48
44
40
36
322824 20
16
12
8
Ncarbon
4
isoelectronic HCn- system
-
HC2n (even):
HC2nH (even):
1 + 1 -
70000
3 -
3 -
Su¬ Sg: ac
1 +
Du , S u ¬ S g :
-1
-1
E (cm )= 17100+97004/N ~585nm
1 +
1 +
Su¬ Sg:
-1
E (cm )= 20068+244590/N ~498nm
60000
E (cm )= 4926+259048/N ~2030nm
3 3 Su¬ Sg: cum
-1
E (cm )= 10096+182895/N ~990nm
1 +
1 +
DBS: Su¬ Sg:
-1
E (cm )= 34262-22591/N ~292nm~EA
-1
E (cm )
50000
40000
-
HC2n+1 (odd):
30000
3 -
3 -
Su¬ Sg: ac
-1
E (cm )= 8009+178096/N ~1248nm
3 3 Su¬ Sg: cum
20000
-1
E (cm )= 14783+129569/N ~676nm
HC2n+1H (odd):
3 -
3 -
Su¬ Sg:
10000
-1
E (cm )= 7152+89094/N ~1398nm
3 3 Su¬ Sg:
-1
E (cm )= 17608+232392/N ~567nm
0
60
56
52
48
44
40
36
322824 20
16
12
8
Ncarbon
4
Solvent and endgroup effect
45000
40000
-1
E (cm )
35000
HC2nH (even)1S+u¬1S+g: ?
30000
gasphase:
-1
E (cm )= 20068+244590/N ~498nm
Ne-Matrix :
-1
E (cm )= 19000+241578/N ~526nm
methanol:
-1
E (cm )= 16885+237195/N ~592nm
acetonitril:
-1
E (cm )= 18905+195460/N ~528nm
25000
20000
15000
6056524844403632 28
24
20
16
12
Ncarbon
8
Conclusions
for odd and even chains: strong B-states:
–
–
–
–
–
f~Nc
position in the visible
broad peaks
in the ISM
similar for kation (HC2n+1H+, HC2n+1H-), anion
sp allotrope: bandgap in UV/visible
matrix shifts
bondlength alternation
HC2n+1H: anion - neutral- cation
ground state: (n-1)p4(n)p1,2,3 (n+1)p0 :
Ions:
+ ,0,HC2n+ 1H
(4n)s
(n+ 1)p
(n)p
(n-1)p
(4n-1)s
1 -
XSg ~
2
4
2
4
1,2,3
(2n)sg (n-1)pg (n)pu
for n = even
1,2,3
(2n)su (n-1)pu (n-1)pg
for n = odd
(n-1)p4(n)p1,2,3 →→ (n-1)p3(n)p2,3,4 :
a3S-u
(n)p1,2,3 (n+1)p0 →→(n)p0, 1,2 (n+1)p1 :
b3S-u
same behaviour for anions and cations:
a and b degenerate-> mixing to yield
weak A and
strong B transition
Bond length alternation:
Acetylenic vs cumulenic
Bond length alternation in the polyacetylenic chains:
1.36
even:
HC10H
HC26H
"single"
Ethene
odd:
C9
Bond length (Å)
1.34
1.32
Allene
1.30
1.28
1.26
1.24
1.22
Ethine
"triple"
1.20
0
1
2
3
4
5
6
7
C-C bond
8
9
10
11
12
13
Bond length alternation:
even and odd
Bond length alternation in the polyacetylenic chains:
1.36
even:
HC10H
HC26H
"single"
Ethene
odd:
HC13H
C9
Bond length (Å)
1.34
1.32
Allene
1.30
1.28
1.26
1.24
1.22
Ethine
"triple"
1.20
0
1
2
3
4
5
6
7
C-C bond
8
9
10
11
12
13
Bond length alternation:
neutral and anionic
Bond length alternation in the polyacetylenic chains:
1.36
even:
HC10H
HC26H
"single"
Ethene
HC10
-
odd:
1.34
Bond length (Å)
HC13H
HC9
C9
1.32
Allene
1.30
1.28
1.26
1.24
1.22
Ethine
"triple"
1.20
0
1
2
3
4
5
6
7
C-C bond
8
9
10
11
12
13
-
backup longchains
additional material
Spectroscopic techniques
Spectral range: UV/visible for DIBs
Direct absorption
– I/I0
– sensitivity and selectivity
– multiple passes and Cavity Ring Down Spectroscopy
or
Laser induced Fluorescence
• excited state lifetime, fluorescence quantum yield
Mass selective techniques
– Resonance Enhanced Multi Photon Ionisation (and related R2ColourPhotoDetachment)
– change in the m/z ratio (anion neutral ; neutral cation ,
cation Fragment)
– sensitivity for ion detection is high!
– additional molecular information: mass
– physics of the ionisation/detachment process is important
REMPI scheme
Cn+
Cn*+ Cn-m+ +Cm
Ion:D0
Cn* Cn-m +Cm
IP
UV
S1
exit channels?
IP/2
near UV
near UV
S1
vis
Neutral:S0
common example:
“uncommon Example”:Cn
2 colour scheme for
Excitation scheme [1+1']
REMPI on polyacetylenes
14
FranckCondon
factors
12
2
X ( Pu)
cation
10
Energie (eV)
VUV Ionisation
8
1 +
B( Su )
1 -
1
A ( S u; Du)
6
IC ~ ns
IC < ps
1 +
4
2
X( Sg )
IP
UV Excitation
even
0
R
odd
Solvent shifts
40000
Neon Matrix
Gas phase
Methanol
38000
1 +
1 +
HCnH: Su ¬ Sg
-1
Wavenumbers (cm )
36000
34000
strong solvent shift:
4000 cm-1 to the red
32000
30000
28000
-1
26000
10
Gas - matrix ~1300 cm
-1
Gas - solvent ~3500 cm
12
14
16
18
20
22
24
26
28
Bond length alternation in the polyacetylenic chains:
HC26H and HC10
1.40
"single"
1.38
Bond length (Å)
1.36
HC26H
HC10
Ethene
HC
C
HC
C
-
HC2n-
1.34
1.32
Allene
1.30
+
HC
CH
1.26
HC
CH
1.24
HC
+
CH
1.28
C
1.22
"triple"
Ethine
1.20
0
5
10
15
C-C bond
20
25
HC2nH
Bond length alternation in the polyacetylenic chains:
HC10H and HC10
1.40
HC10H
1.38
1.36
Bond length (Å)
HC10
"single"
-
B3LYP
MP2
Ethene
1.34
1.32
Allene
1.30
1.28
1.26
1.24
1.22
"triple"
Ethine
1.20
0
1
2
3
4
5
6
C-C bond
7
8
9
10
R2CPI-spectra of acetylenic chains
1S+
g
→→1S+u
HC26H
HC24H
HC22H
HC20H
HC18H
HC16H
280 290 300 310 320 330 340 350 360
Wavelength (nm)
Even D: HC6H, HC8H, HC10H, HC12H, HC14H
HC2nH(n=3-7): 1S+g →→1Du
1
170
HC14H
380
390
1
HC12H
350
360
3302
HC8H
290
2
0
1
80
290
410
1
1
1
380
1
1
120
1
420
430
140
390
400
350
360
370
380
zoom
300
310
300
410
1
140
1
30 140
340
440
1
140 160
40 60 140
320
280
400
370
1
HC10H
HC6H
1
40 140
320
310
Wavelength (nm)
330
320
1
120
340
330
340
The HC2n+1H Series:
HC7H, HC9H, HC11H, HC13H ... HC19H
8
1
HC7H
3'
19000
3
24
2'
1'
19500
20000
20500
1
*
17000
HC13H
13000
18000
19000
*
*
20000
3
2
1
15000
21000
2
HC9H
HC11H
5
16000
17000
15000
16000
10
9 11
21500
22000
*3
*
*
*
5 21000
4
19000
-1
Wavenumber (cm )
23000
23000
7
6
21000
4
17000
22500
22000
20000
2
3
1
14000
18000
6
7
22000
5
18000
19000
600
550
500
-
CNH
Wavelength (nm)
450
400
350
HC2nH
300
250
Neutral
1
1
HC2nH
: S+¬ S+
u
g
Anions
1 +
1 +
Ac. HC2n : S ¬ S
200
150
100
0
2
4
6
8 10 12 14 16 18 20 22 24 26 28
Number of carbon atoms
600
550
500
CNH
-
Wavelength (nm)
450
400
350
HC2nH
300
250
200
150
Neutral
1 +
1 +
HC2nH
: Su ¬ Sg
Anions
1 +
1 +
Ac. HC2n : S ¬ S
Cum. HC2n
-
-
3 -
- 1
100
3 -
Ac. HC2n-1 : S ¬ S
1
Cum. HC2n-1 : A'¬ A'
0 2 4 6 8 10 12 14 16 18 20 22 24 26 28
Number of carbon atoms
end polayacetylenes
additional material
Gas phase electronic spectra of linear
carbon chains:
HCn+1H, HCnH , HCn+1 , HCn
Felix Güthe1,
Hongbin Ding, Thomas Pino3,
Tim W. Schmidt4, Andrei Boguslavskiy
John Maier
Institut für Physikalische Chemie der Universität Basel, Basel, Switzerland
1 abcd Switzerland Ltd., Baden, Switzerland
2 Institut für Physikalische Chemie der Universität Basel, Basel, Switzerland
3 Laboratoire de Photophysique Moleculaire, Universite Paris-Sud, Orsay, France
4 Sydney University, Sydney, Australia
Bunsentagung , Dresden 2004
C3H- identified in the ISM by
microwave spectroscopy!
540
520
500
480
460
440
420
400
380
nm
360
C3D
C10
C3H
-1
cm
spectrum in the visible detected via
R2CPI with F2 laser in the VUV !!
C3H
2
2
2
close-up 40 band
A A'(K'=2)--X P 1/2
3
40
2
2
A A'(K'=2)--X P 3/2
20910
Intensity (a.u.)
20880
2
40
1
P
-- X
2
'
2
AA
1/2
1
40
XP
''
2
BA
2
40
1/2
0
00
0
00
19000
complicated
20000
21000
spectrum!
Renner-Teller (4 atoms) distorted
more than one electronic state
-1
22000 cm
C3H
6.5
6.0
ground
5.5
5.0
4.5
2
4.0
Energy (eV)
state: 2P
linear-bend transition
3 electronic states
contribute to spectrum
complicated RennerTeller distorted spectrum!
individual lines to weak
to be detected in the ISM
by vis-absorption
2 +
S
S
3.5
2 -
3.0
2
2.5
D
2.0
1.5
1.0
6 .5
0.5
6 .0
5 .5
2
P
0.0
60 80 100 120 140 160 180 200 220 240 260 280 300
5 .0
E n e r g y (e V )
P
F
4 .5
4 .0
3 .5
2
P
2
S
S
2
3 .0
2
2 .5
E
+
D
-
C
D
B
A
2 .0
1 .5
CCH angle°
1 .0
0 .5
X
2
0 .0
6 0
8 0
P
1 0 0 1 2 0 1 4 0 1 6 0 1 8 0 2 0 0 2 2 0 2 4 0 2 6 0 2 8 0 3 0 0
C C H
a n g le °
electronic transitions- C2nH
ground state
C2nH for n>2
ground state
C2nH for n<2
(4n+2)s
(4n+ 2)s
(n+1)p
(n+1)p
(n)p
(4n+1)s
(4n+1)s
(n)p
(n-1)p
(n-1)p
2
X P~
2
4
2
3
(n-1)p (4n+1)s (n-1)p
X S~ for n < 2
4
4
1
(n-1)p (n)p (4n+1)s
excitations: 2P →→
(4n+1)s →→ (n)p:
(n-1)p →→ (n)p:
(n)p
→→ (n+1)p:
2S :weak, IR
2P :strong, vis
2P :weak UV
excitations: 2S →→
(n)p
→→ (4n+1)s : 2P
(4n+1)s →→ (n+1)p : 2P
(n)p
→→ (n+1)p : 2S
The C2n+1H Series: C3H,C5H,C7H,C9H
2
2
2
F P --X P
00
C9H
2
D P --X P
70
0
110
1
1
00
00
0
2 +
2
C S --X P
0
2
2
A D --X P
2 -
2 +
Intensity (a.u.)
B S --X P
00
C7H
00
0
2 -
130
00
C5H
2
2
C A'' --X P
00
100
C3H
2
1
1
2
90
00
1
0
2
2
00
420
0
A D --X P
0
B A'' --X P
390
0
0
2
360
00
2
B S --X P
100
2
C S --X P
2
450
480
2
2
A A' --X P
0
00
510
0
540
570
600
nm
electronic transitions- C2n+1H
C2n+1H
(4n+ 4)s
excitations: 2P →→
(4n+3)s →→ (n)p:
(n-1)p →→ (n)p:
(n)p
→→ (n+1)p:
(n+1)p
(n)p
(4n+3)s
(n-1)p
2
X P~
4
2
1
(n-1)p (4n+3)s (n)p
2D, 2S-, 2S+:vis
2P : vis
2P :
The C2n+1H Series: C3H,C5H,C7H,C9H
2
2D, 2S-, 2S+, 2P -
→→
3- 4 different electronic
states!
00
C9H
2
D P --X P
2
70
0
110
1
1
00
00
0
2 +
2
C S --X P
0
2
2
A D --X P
2 -
2 +
00
C7H
00
0
2 -
130
00
C5H
2
2
C A'' --X P
00
100
2
2
1
90
2
00
1
0
2
2
00
420
0
1
A D --X P
0
B A'' --X P
390
0
0
C3H
360
00
2
B S --X P
100
2
C S --X P
2
B S --X P
Intensity (a.u.)
2P
2
F P --X P
450
480
2
2
A A' --X P
0
00
510
0
540
570
600
nm
Extrapolation
25000
HC2n+1(odd):
-1
E (cm )
20000
2
2
A D¬ P
15000
2 -
2
B S¬ P
2 +
2
C S¬P
HC2n(even):
10000
2
2
P¬ P:
-1
E (cm )= 6830+72144/N ~1464nm
5000
60
57
54
51
48
45
42
39
36
33
30
27
242118 15
12
9
6
3
Ncarbon
end longchains
additional material
C7H7- Tropyl vs. Benzyl
26000
27000
28000
29000
30000
31000
32000
C7D7
from d6-benzene/ Ar
C7H7
from benzene/ Ar
C7H7
from cycloheptatriene/ Ar
26000
27000
28000
29000
30000
31000
-1
32000 cm
7 ring / 6 ring from stable C7H7+ ion!
C7H7- Tropyl vs. Benzyl
C6H5CH2:C
←←X:
tropyl radical
cycloheptatriene / Ar
–complex spectrum
–Jahn-Teller distorted:
–D7h
2 ''
2 ''
E3 ¬ E2
32000
32500
C
toluene / Ar
32000
33000
32500
33000
X
-1
cm
C7H3- identification of the structure!
variety of candidates
calculation :
–energies
–rotational
constants
geometries DFT B3LLYP/6_31G*
C7H3-
rotational K-structure!
close-up of band 1
a.Exp
1
m/z=87 Ion Current (arb.)
6
5
b.Sim
9
4
18890
8
1'
2
18900
18910
7
11
3
12
10
19000
20000
21000
22000
rotational structure!
– down selection: -> 3 member ring
– spin statistics : -> isomer 2
23000
-1
cm
C7H3- structure identified!
no methyl group!
– unlike C9H3 ,C11H3 ,... (Schmidt et al. IJMS 2003)
REMPI aromatics
additional material
Benzene Discharge
C2 C3 C4 C5 C6 C7 C8 C9 C10 C11 C12 C13 C14 C15
355 nm
C5
R2PI: 278-290 nm
157nm
24
36
48
60
72
84
96
108
120
Mass (amu)
132
144
156
168
180
C8
C9
C10
R2PI: 278-290nm
C11
C12
C13
C14
C10H8
C15
C14H10
F2-Laser: 157nm
96
108
120
132
144
Mass (amu)
156
168
180
R2PI-Spectra from Benzene-Discharge
wavelength / nm
288
287
286
285
284
283
282
281
280
279
0
a
m/z = 102
278
0
0
b
00
m/z = 104
0
291
0
251
281
241
0
0
0
26
271
0
412
1
0
171 181
0
0
0
00
0
m/z = 116
300
260
1
1
1
1
m/z = 178
a(B2u)
34600
34800
35000
A(B1u)
b(B2u)
35200
430 420
1
250
1
S2¬S0: phen
290
280
35400
wavenumber / cm
1
230
1
210
1
B(B1u)
35600
-1
35800
36000
R2PI-Spectra from Benzene-Discharge
wavelength / nm
301 299 297 295 293 291 289
287
285
283
281
279
CH3
m/z = 118
241
00
0
0
291
170
251
0
1
0
422
281 0
191
0
1
1
4
1
1
1
Napht. 70 8
Napht. 40
IP(Napht. )/2
0
Napht. 00
Napht. 80 70 80
0
3
2
1
m/z = 128
m/z = 166
a1
0
0
a1
0
a1
a1
33000
33400
33800
34200
a1 a
1
a1
a1
b2
34600
wavenumber / cm
-1
35000
35400
35800
trans
cis
1
4
2
trans
3
cis
5
end REMPI
Photo Fragmentation Experiment for Cations
1% C 2H2 in Ar
p ~ 10 bar
RETOF as
tandem MS
with double
mass selection !
U
1 2
Cm
AB+ + hn -> A+ + B
, A+ detected
AB+ from source, hn scanned for resonance
Fragmentation spectroscopy
for van der Waals clusters:
M·Arn+ + hn -> M M·Arn-1+ + Ar,
HC4H Arn
M= HC4H
n=4
n=3
n=2
19600
19700
19800
19900
20000
19600
19700
19800
19900
20000
19600
19700
19800
19900
20000
n=1
-1
frequency (cm )
19000
19500
20000
20500
21000
21500
-1
frequency (cm )
22000
22500
23000
extrapolatio
n of band
origins
end Fragmentation
additional material