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real copo was the su Keyw PAC

mate inorg suita appli films stabl holog contr large large comm quan mole agen band band infor study struc

* ) For

Optica (PVA-g

Ali Qass

1 Departm

2 Departm

Received Abstrac The opti and imagin olymer were used to stu urface ener words: Opt CS: 78.20.C

1. Intro During t erial [1]. Ne

ganic compo able to low ications. An s with custo e photo in graphy, etc rolled devic e bulk nonl e. Rhodami monly used ntum yield.

ecular probe nt [8], as bio d gap and e d structure rmation abo y of the o cture and th

r correspondenc

l constant g-Rh B)

sim Abdulla ment of Phys ment of Chem

d 3 May 20 ct

ical constan nary part o e determine udy the opti

gy loss (SE tical constan

i, 78.40.Me

oduction the last de evertheless,

ounds, rese w cost mo nother advan

omizable pr nduced opti

c…) can b ces. Doped linear susce ine B (Rh d as an acti

It has been e [6], as an ological sta extinction c

and electri out the chem optical abso

e energy ga

ce, E-mail: aliqa

ts of the p

ah1*, Salah S ics, College mistry, Colleg

13; Revised

nts of the pre of the comp ed. The opt ical dispersi ELF) functio nts; Rhodam e.

cades, rese because of earch moved

olecular en ntage of po roperties. It cal behavio be produced d polymeric

eptibilities i B) is a c ive medium n also found electrochem ain [9]. Kno coefficient)

cal propert mical bondi orption spec

ap in the cry

assim_74@yah

poly vinyl

Sh.El-Lauib of Science, U ge of Science

d 19 August

epared PVA mplex refrac

tical condu ion parame ons were als mine B dye;

earch intere f the heavy d towards p ngineering olymers is th

t has been a or (photore d and used c materials

if the mole chromophor m in tunable d in a wide mical lumin owledge of is vital to ties. For ex ing and ele

ctra provid ystalline an

hoo.com

l alcohol g

bi2, Eman M University of e, University

t 2013; Acc

A-g-Rh B th ctive index uctivity was eters. The v so investiga dispersion

ests have b and expens polymeric m

processes he possibilit

also demon efractive eff

d to design offer high ecular hype

re from a e lasers [2-

range of ap nescence sen f optical con determine xample, the

ctronic stru des essentia nd non-cryst

grafted R

M. Jaboori3 f Basrah, Bas

of Basrah, B

epted 18 No

hin films ha and dielec s studied. W volume ener

ted.

parameters

been focuse sive growth materials. In and very ty to achiev nstrated that fects, birefr n new gen optical qua rpolarizabil

family of 4] due to i pplications nsitizer [7], nstants of th

the atomic e refractive ucture of the

al informat talline mate

Rhodamin

srah-Iraq Basrah-Iraq

ovember 20

ave been stu ctric consta Wemple-Di rgy loss (V

s; energy los

ed on elect h technique ndeed, the m

useful for ve reliable d t by suitabl fringence, d neration of uality and p

lity of the xanthene its high flu

in solar cel , as a water the material structure, e index pro

e material, tion about erials [10, 1

e B

013

udied. The ant of the

Dimenico ELF) and

ss.

tro-optical s of these material is r specific doped thin

le doping, dichroism, optically potentially dopant is dyes that orescence ll [5] as a r – tracing ls (optical electronic ovides the

while the the band 11]. In the

(2)

66

present w copolyme used to d was analy

2.

2.

P provided purificati The react 2.

M acetone technique DMSO s room tem spectroph

3.

3.

F B thin fi 650nm, r the wave and the t reflectanc

work, we d er polyviny determine th

yzed by usi

. Experime .1 Materia olyvinyl al d by Aldrich

ion. Dimeth tion and cha .2 Prepara Macroscopic

were used e, dropping solvent. Th

mperature hotometer (

. Results a .1 Optical Fig. 1 show films. The s

related to hi elength rang third peak ce of film is

Fig. 1

determined yl alcohol gr

he refractiv ng transmit

ental als

lcohol (PVA h. Rhodami hylslfuoxide aracterizatio ation of Thi c glass sub as substra g a small a e transmitta

the wavel Thermospe

and Discuss Transmiss ws the transm

synthesis fi igh transpar ge 500-600n

at  ≤ 500 s 20% at 57

: The transm

the optical rafted Rhod ve index, lo

ttance spectr

A) (Mwt=1 ine B dye ( e (DMSO) w on of new c

in Films bstrates (1.

ates. Thin amount of t

ance (T) sp ength () ctronic mod

sion sion

mission and ilm have th rency, while nm can be a 0nm related 75nm.

mittance and r

l constants damine B, W

ss energy w rum in the w

106,000-110 (Rh B) was was used a copolymer w

5cm x 1.5 films were the polyme pectra of th range of del HEλIOS

d reflectanc hree region e it had low attributed to d to low en

reflectance s

and disper Wemple an were also de

wavelength

0,000), hyd s provided b

s a solvent was showed

5cm) were e prepared er solution he prepared 300-800 n Sα v 4.60).

e spectrum s, first regi w value due o the So-S1

nergy transi

spectrum for

rsion param d DiDomen etermined.

range of 30

roxyl conte by Fluka w provide by d previously

washed by by using t PVA-g-Rh d samples w

nm using

of the prep ion in the

to the stron transition o ition. The h

PVA-g-Rh B

meters for a nico relation

The optical 00-800nm.

ent 99.9%, without any

y BGC com y [12].

y hot water the spin-co h B dissolv

was measur a double

pared PVA- wavelength ng absorban of Rh B dye highest val

B.

a new n was

l data

were other mpany.

r and oating ved in

red at beam

-g-Rh h  ≥ nce in e [13]

lue of

(3)

[14]:

wher thick as sh dye.

relati

wher wave 650n and 2

3.2 Dete The opti

re T and d kness of sam hown in the

The extinc ion [14]:

re λ is the elength rang nm and anom

2.156 eV. T

F

ermination ical absorpt

d are the tr mples was k Fig.2 relate ction coeffi

wavelength ge of 300-8 malous disp This is due to

Fig. 2: The ab

the Extinc tion coeffic

ransmittanc kept as 3µm

ed to the co icient (k) a

h. The extin 800nm is sh

persion at  o high energ

bsorption coe

n

ction Coeffi cient (α) ca

ce and thick m, high abso

opolymer ha and the refr

nction coef hown in Fig

 < 650nm gy transitio

efficient vs. p 1) 1ln(

T

d



4 k

R n R

1 1

icient an be calcul

kness of th orption coef ave conjuga ractive inde

fficient (k) g. 3. Norma besides thr n.

photon energ

lated from

he thin film fficient at p ated system ex (n) are

and refract al dispersio ee peaks at

gy of PVA-g

transmissio

m, respectiv photon ener m in pendent calculated

tive index ( on is observ

t 3.542 eV,

g-Rh B.

67 on data as

(1)

vely. The rgy > 2eV t for Rh B using the

(2) (3)

(n) in the ved at  >

2.917 eV

(4)

68

Fig. 3: Th 3.

A absorptio

where B index and forbidden (αh)1/2 v axis yield about 1.9

he absorption .3 Calcula According t on coefficien

is a parame d assume va n indirect t versus h fo

d the value 98eV .

Fig. 4 h)1/2 (eV/cm)1/ 2 α(

n index k and tion of Opt to Tauc's r nt can be de eter, depend alues 0.5, 2 transitions, or PVA-g-R

s of the opt

4: The (αhυ)1/

d refractive i tical Energ relation [15 escribed by:

αhυ = B ds on the tra

, 1.5 and 3 respectively Rh B film. T

tical band g

/2 vs. the pho

index n depen gy Gap

5, 16], the :

B(hυ-Egopt

ansition pro for allowed y. Fig. 4 sh The intercep

gap. The va

oton energy h(eV)

ndent on the

e photon e

) r obability, Eg

d direct, allo hows the a pts of the str alue of indir

of PVA-g-R

wavelength

energy dep

g is the optic owed indirec absorption c raight lines

rect allowed

Rh B thin film

h for PVA-g-R

pendence o

cal energy g ct, forbidde coefficient

with the ph d optical en

m.

Rh B.

of the

(4) gap and r an en direct and in the form hoton energy nergy gap i

n d m y s

(5)

absor absor photo

wher the lo of th photo photo

dispe appro energ The r

3.4 Urb For h ≤ rption, mul rption mech on energy a

re o is a co ocalized sta he localized

on energy on energy o

Fig.

3.5 Dis Wimple ersion is stu oximation.

gy, Ed, the m

relationship

bach Tail

≤ Eg there ltiphoton ab

hanism is u as:

onstant and ates at the co

states. The and taking of the curve

5: The relat persion Pa and DiDom udied in the

Defining t model concl ps between t

are four m bsorption an usually an

Eu is the U onduction o e value of E the recipro . The value

ionship betw arameters

menico [19 region of t two parame ludes:

the dispersi

n2

major absor nd high sca

Urbach tai

Urbach ener or valance b Eu is estima

ocals of the of Urbach

ween in  and

9, 20] devel transparency

eters, the o

ion paramet

2 2

1 ( E

E E

o o

3 1 2

M Eo M

3 3 2 1

M Ed M

Eu

h oe

 

rption mech attering [17

l [18] whe

rgy (related band edge), ted from Fi e slope of energy is 1.

d photon ene

loped a mo y below the oscillation

ters and 2(

)2

h Ed

u

hanism, the 7]. In case re  depen

to the widt it can be ev ig. 5, by plo the linear p .19eV.

ergy for PVA

odel where e gap, using energy, Eo

) spectrum

e Urbach ta of  104 nds exponen

th of the ba valuated as otting ln v portion in

A-g-Rh B.

the refract g the single

o and the d

m can be est

69 ail, defect

cm-1, the ntially on (5) and tail of the width versus the the lower

tive index oscillator dispersion

(6) timated as:

(7)

(8)

(6)

70 where M computat defined a The static

Plotting ( straight l axis equa

3.

T relation [

Fig. 7 sho is clear th mainly de

M-1, M-3 are tion of Eo

as:

c dielectric

(n2-1) versu line for nor al to(Eo/Ed).

.6 Comple The real and

[21, 22].

ows the rela hat the varia epends on k

e moment o and Ed. It

constant ca

us (h)2 as i rmal behavi . The value

Fig. 6: Plo ex Dielectri d imaginary

ationship be ation of ε1 m k values wh

of optical s is known t

an be written

llustrated in ior having

of Eo,Ed, M

ts of (n2-1)-1 c Constant y parts of th

etween real mainly depe hich are rela

)

(

li

E

r o

r

o o

n2 (

1

2

spectrum an that static d

n in term of

n Fig. 6 for the slope ( M-1, M-3 and

against (hυ) t and Optic he dielectri

(1) and im ended on n2 ated to the v

2( )

im

o E

E

n

o d

E o)1E

2

2

k

n

 2 nk

2

nd the -1, - dielectric co

f dispersion

PVA-g-Rh EoEd)-1 and d n(o) are lis

)2 for PVA-g cal Conduc ic constant

maginary (2

because of variation of a

2

no

-3 moment onstant of a

parameters

h B thin film d intercept w

sted in Tabl

-Rh B.

tivity can be esti

2) part and p f small value absorption c

are involv any substan

s simply as:

ms, which y with the ve le 1.

imated usin

photon ener es of k2, wh coefficients

ved in nce is

(9)

(10)

yield a ertical

ng the

(11) (12) rgy. It hile ε2

s.

(7)

cond

wher Optic energ const deter

Whe

wher elect effec perm deter this d N/m*

Fig.

The opt ductivity (o

re c is speed

Fig. 8 sh cal conduct gy > 2eV tant separa rmined from

re B:

re 1, e, c, tron charge, ctive mass, mittivity of

rmined from It is obs dependence

*. The evalu

7: The relat tical respon

opt) which is

d of light.

how the re tivity Opt. w

decreasing.

ation of th m the follow

N/m*, an , the velocit

the high fr free space m the equati

served that e to zero w uated value

ionship betw nse of a m s given by th

lationship b were increa . This is a he real par wing relation

nd o are th ty of light, t requency di e (8.854x1

on (14) by p linear part avelength g s of the a

1n

B

ween 1, 2 an material is he relation

between op ased with in analogue to rt and ima n [24]:

he real and the ratio of ielectric co 0-12 F/m).

plotting n2 ( at long wa give the val and N/m* w

4

nc

opt

2

2 k

n  

2 2

2

4 c m

N e

o

 

nd photon en mainly stu [23]:

ptical condu ncreasing ph the α spe aginary par

d imaginary f the free ch onstant (the

The param (1 = n2 ) v avelengths.

lue of  an were listed in

c

2

B

m*

nergy of PVA udied in te

uctivity opt

hoton energy ectrum. The

rt of diele

part of die hargecarrier

lattice diel meters a ersus 2 as Extrapolatin nd from the

n Table 1.

A-g-Rh B.

erms of th

t and photo gy and at hig

e complex ectric const

electric con r concentrat lectric cons and N/m*

shown in F ing the line e slope the

71 he optical

(13)

n energy.

gh photon dielectric tant were

(14)

(15) nstant, the

tion to the stant), the could be Fig. 9.

ar part of values of

(8)

72 T following

n0 is the part, was

Fig. 8: Opti

The average g relation [2

reflective i s below the

op (sec)-1 n2

cal conductiv

Fi interband 24]:

index at inf

absorption

vity opt as a

g. 9: n2 as a oscillator w

finite wavel

edge as sho

2 2

1

o 1 n n

a function of

function of s wavelength

length λ0, p own in Fig.

) (

1

o

h (eV

2(nm)2 x10

photon energ

square wavel0)can be

. lotting (n2- 10.

)2

n2

V)

05

2(n

gy for PVA-

length.

calculated

1)-1 versus

nm)2 x105

-g-Rh B.

by applyin

λ-2 shows l ng the

(16)

linear

(9)

The a

The rule the t susce

Whe

average osc

value of at it is very co third order eptibility an ere A is a co

Fig.

Fi cillator stren

λo and So a onvenient f of nonline nd the linear

onstant, A=1

11: The rela

( ) 3 ( A(

(3) (esu)

ig. 10: (n2-1) ngth is given

are listed in for visible, n ear polariza

r optical sus

1.7×10-10.

ationship bet

4 ) 1

( ) A[EoEd

)-1 versus (λ- n by:

n Table 1. A nonlinear an ability param sceptibility,

tween χ(3) and

2 (

( 4

/ Eo h

d

2

2 1

o o o

S n

h (e

-2) for PVA-g

According to nd near infr meter, χ(3),

χ(1) can be

d photon ene

4 2

4 ] (

)

h

1

eV)

g-Rh B.

o Wagner e frared freque

the so-call found throu

ergy for PVA

4 2

4( 1)

) n A

et.el. [25], t encies, whi led nonline ugh the equ

A-g-Rh B.

73 (17)

the Miller ich relates ar optical uation:

(18)

(10)

74 F of prepar strongly i T loss of th The volu related to loss func constant

Where (- loss. The functions in the en from visi Lorentz from Fig

Fig. 12

ig. 11 show red PVA-g influence th The volume he fast elect ume energy o the real an ctions are r

by the follo

-Im [

]) is th e surface en s (1 and 2) nergy rang ible to VUV

oscillator d . 7. Many o

2: The relatio

ws the relati -Rh B thin he magnitud and surface rons traveli y loss funct

nd imaginar related to re owing relati

he volume t nergy and v ) are calcul

from 1eV V. Also the dielectric fu optical param

onship betwe

SEL VEL

ionship betw n film. The de of the non e loss funct ing through

tion (VELF ry parts of eal and ima

ons:

erm of ener volume ene ated and sh

to 3.5eV, r surface and unctions (1

meters were

een volume,

[ [

lm LF

lm LF

ween third covalency n-linearity.

tions are pro the bulk an F) and surf the comple aginary par

rgy loss and ergy loss fu hown in Fig

respectively d volume en and 2) ha e recorded in

surface ener

] [(

1 1 1]

2 1

2

 

 

order susce y and iconic

oportional t nd surface o face energy x dielectric rts ε1 and ε

d (-Im[

unctions ge g. 12. The tw

y a typical nergy loss fu

ave the sam n Table 1.

gy and photo

) 1 2 22

1 2 2 2

eptibility an city of the to the chara of the mater y loss funct c function [2

2 of the co

]) is surfac enerated fro wo energies experiment unctions ge me oscillato

on energy for

2]

nd photon en chemical b acteristics en rial, respect

tion (SELF 26]. The en omplex diel

ce term of en om the diel

s were com tal energy enerated from

or shape as

r PVA-g Rh nergy bonds nergy ively.

F) are nergy-

ectric

(19) (20)

nergy ectric mputed range m the seen

B.

(11)

75 Table 1: Optical parameters of the prepared PVA-g-Rh B thin film.

Quantity Value

) (eV

EOptg 1.98

) (eV

EUrbach 1.19

)

E(eV 1.98

) (eV

Ed 46.78

2 1(eV)

M 23.62

2 3(eV)

M 6.02

n 2.10

4.43

1 3. ) ( /m m kg

N 2.79x1057

2.19

)

(nm

337

) (m2

S 3.02×1013

) )(

0

3(

esu 5.05x10-17

4. Conclusion

Optical transmission spectrum is used to calculate the optical and dielectric parameters for new copolymer PVA-g-Rh B thin film. The optical conductivity was increased with increasing photon energy. The refractive index dispersion curve was well fitted with Wemple DiDomenico relation and we find good agreement. Low transmission and reflective in visible range of polymeric thin film is useful to make the materials a prominent one for solar cell applications.

References

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[2] D. L. Andrews, Laser in Chemistry, Speringer-Verlage, Berlin (1997) [3] F. P. Schafer, Dye Lasers, Springer-Verlage, Berlin, 2nd edition (1977) 1

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