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E:ダスト光学 . Armandroff,T.E., DaCosta,G.S. 1991, AJ 101, 1329-1337   球状星団のメタル量と CaII Triplet との関係. 前回 CaT 線の積み残し. 47 Tuc. M2. N 1851. N6397. N6752. M15. W8542+W8662+0.619(V-V(HB )) は V-V(HB) =0での W(CaT) である。 こうして、 W(CaT) をメタル量とつなげるキャリブレーションができた。 しかし、古い種族のみ適用可。.

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E:ダスト光学 

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Armandroff,T.E., DaCosta,G.S.1991, AJ 101, 1329-1337

CaIITriplet

CaT

Tuc

M2

N

N6397

N6752

M15

W8542+W8662+0.619(V-V(HB

V-V(HB)W(CaT)

W(CaT)

WCaT)


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Pont,F., Zinn,R., Gallart,C.,Hardy,E., Winnick,R.2004 AJ 127, 840-860

Fornax

FornaxN18512<[Fe/H]<0 ?

FornaxM15N1851

[Fe/H]<1.3 ?

[Fe/H]

47 Tuc 0.71

NGC1851 1.29

M15 2.17

MIV-I)

Fornax

M110.25 Gyr, [Fe/H]=0.10


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W(CaT)[Fe/H]

LMC

Fornax

SFR=


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22

22


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/

2mkT///

exp (E/kT)=


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(/)

H, O, C, H2,O2,C2, OH, CH, CO, H2O, CH 11 CH4

HCO


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/

/

/

/

/

/

/

/CH


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dyn/cm2dyn/cm6

eV


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/

COCO

OMOHFeTiH2OTiO

CCC2,CH,CN

C/OC

C/OM


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1

S

S

E.1

d

S

C=/S


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I

II

II

I

IIoEexp(

IoEexp(N


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E.

0


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g(dz/dt)

( <2o)


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Eoeit= Eoei2t

e

e

e i t


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p-e

()EE=Eoei2

()z

e

e

EE


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p p

p

E.

p Ni

N E=E + 4Np

p

E=E + 4N (1 + 4N) E

=(1 + 4N)

=Eo exp[ 2i(t kx)]= [i()] [i()] ( )


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i

||

I(x)=Io

i

E.

E.1.1.IIoexp( Ioexp(N

N Im/


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=(1 + 4N)


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E

/

//

a

B

/

A


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/

///


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//

Riccati-Bessel


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Bohren/Huffman1983bsorption and Scattering of Light by Small Particles (=ref)

subroutine qmie(x,ref,qext,qsca,qabs)

c

complex ref,y,d(3000),xi,xi0,xi1,an,bn

double precision psi0,psi1,psi,dn,dx

c

dx=x

y=x*ref

xstop=x+4*x**0.333+2.

nstop=xstop

ymod=cabs(y)

nmx=amax1(xstop,ymod)+15

c logarithmic derivative d(j) calculated by downward

c recurrence beginning with initial value 0+i*0 at

c j=nmx

d(nmx)=cmplx(0.0,0.0)

nn=nmx-1

do 100 n=1, nn

rn=nmx-n+1

100 d(nmx-n)=(rn/y)-(1./(d(nmx-n+1)+rn/y))

c riccati-bessel functtions with real argument x

c caluculate by upward recurrence psi0=dcos(dx)

psi1=dsin(dx)

chi0=-sin(x)

chi1=cos(x)

apsi0=psi0

apsi1=psi1

xi0=cmplx(apsi0,-chi0)

xi1=cmplx(apsi1,-chi1)

qsca=0.0

qext=0.0

n=1


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200 dn=n

rn=n

psi=(2.*dn-1.)*psi1/dx-psi0

apsi=psi

chi=(2.*rn-1)*chi1/x-chi0

xi=cmplx(apsi,-chi)

an=(d(n)/ref+rn/x)*apsi-apsi1

an=an/((d(n)/ref+rn/x)*xi-xi1)

bn=(ref*d(n)+rn/x)*apsi-apsi1

bn=bn/((ref*d(n)+rn/x)*xi-xi1)

qsca=qsca+(2.*rn+1.)*(cabs(an)*cabs(an)

+ cabs(bn)*cabs(bn))

qext=qext+(2.*rn+1.)*(real(an)+real(bn))

psi0=psi1

psi1=psi

apsi1=psi1

chi0=chi1

chi1=chi

xi1=cmplx(apsi1,-chi1)

n=n+1

rn=n

if (n-1-nstop) 200,300,300

300 continue

qsca=(2./(x*x))*qsca

qext=(2./(x*x))*qext

qabs=qext-qsca

return

end


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ca

abs


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oi= o//i /o /o

destructive interference


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..

1/


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2xQextnQext


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r

// /

P /

/

/


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a

E


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/

/

/

E=E+4P/

/

EP


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E.1.P=E

Po

E


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Q

/

/


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atom

atom


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om


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