International Journal of Application or Innovation in Engineering & Management (IJAIEM) Web Site: www.ijaiem.org Email: editor@ijaiem.org Volume 3, Issue 5, May 2014 ISSN 2319 - 4847 Study and Analysis of Absorption Spectra of Quasars Bushra Q. AL-Abudi1 and Nuha S. Fouad 2 1,2 University of Baghdad, College of Science, Department of Astronomy and Space, Baghdad-Iraq ABSTRACT A quasi-stellar radio source (quasar) is a very energetic and distant active galactic nucleus. Quasars are extremely luminous and were first identified as being high red shift sources of electromagnetic energy, including radio waves and visible light, that were point-like, similar to stars, rather than extended sources similar to galaxies. The simplest way to explain the quasar's red shifts is to assume that they are extremely distant bodies that follow Hubble's law. In this paper, eight single and four double quasars have been detected from SDSS .The single quasars are: SDSS J100120.82+555349.8, SDSS J095918.70+020951.5 ,SDSS J093857.01+412821.2 , SDSS J141647.21+521115.5, SDSS J141030.62+511113.8 , SDSS J005006.35-005319.2 ,SDSS J000552.33000655.6 and SDSS J222851.23+011432.3 ,the double quasars are SDSS J115518.29+193942.2, SDSS J162026.14+120342.0, SDSS J133907.13+131039.6 and J125418.94+223536.5. For both types quasars , chemical composition are determined and the redshift are measured from the absorption spectra, it found that the single quasars spans a redshift range of 0.335 ≤ z ≤ 6.47. the; and double quasars spans a redshift of 1.01 ≤ z ≤ 3.64. Applying Hubble's law to these values of redshift, some features of absorption line of quasars are measured and analyzed. Key words: Quasar, Absorption line Spectra, single Quasar; Double Quasars 1. INTRODUCTION Quasars – growing supermassive black holes in the centers of massive galaxies – are the subset of active galactic nuclei (AGNs) that constitute the most luminous objects in the universe. They radiate substantial power across much of the electromagnetic spectrum, with the source of radiation in each frequency regime originating from a different location with respect to the supermassive black hole. The shape of a quasar’s spectral energy distribution (SED) can reveal much about the structure of the black hole-accretion disk system[1].Quasars were observed during the first half of the 20th century as radio-sources, but their nature remained unclear for decades. In the late 50s, radio observations revealed that these sources were characterized by very small angular sizes: they were star-like objects, or quasi stellar radio sources, later contracted into quasars. The optical counter-parts of some of these radio sources were observed for the first time in the 60s. Their starlike nature was quickly contradicted by their atypical spectral properties. By 1974, the spectra of over two hundred quasars had been analyzed, and all of them having very large redshifts. The simplest way to explain the quasar´s redshifts is to assume that they are extremely distant bodies that follow Hubble´s law; in such a way that they are the most distant objects known. Moreover, if the redshifts of quasars are caused by the expansion of the Universe, they are very luminous bodies indeed [2, 3]. The quasar absorption lines are crucial to our understanding of the Universe since the absorption lines provide a wealth of information on the gaseous Universe from high redshift to present day. The absorption lines can also allow us to probe them metallicity and ionization state of the gas. Owing to the advent of large spectroscopic surveys such as the Sloan Digital Sky Survey (SDSS), tens of thousands of quasar absorption lines can be identified [4]. In this paper, we will study and analysis the absorption spectra of single and double quasars. This paper is organized as follows. Section 2 presents the features of absorption lines spectra. For each quasar; chemical composition were determined and features of absorption line spectra were measured and analyzed in section 3. .Section 4 is devoted to conclusions. 2. The REDSHIFTS and FEATURES of ABSORPTION LINE SPECTRA The redshift of a quasar is usually denoted by the letter z; that is to say [5]. z 0 where is the shift in wavelength of a spectral line, and (1) 0 is the wavelength that line had when it left the quasar. The redshifts can also be expressed as a velocity by means of the Doppler shift formula. However, if the velocity is small compared to the velocity of light, the following simple form of that formula is normally used. v Volume 3, Issue 5, May 2014 c 0 (2) Page 49 International Journal of Application or Innovation in Engineering & Management (IJAIEM) Web Site: www.ijaiem.org Email: editor@ijaiem.org Volume 3, Issue 5, May 2014 v 0 c ISSN 2319 - 4847 (3) where v is the velocity, and c the velocity of light. If formula (2) is converted for the explicit calculation of the redshift Δ formula (3), we can recognize that at a given velocity, the amount of the shift Δ is proportional to the rest wavelength 0 of the corresponding spectral line .The classical method to estimate the distance D is based here on the Hubble’s law [6]. (4) v c z H (t) D Where Hubble parameter H(t) is ≈ 73 km s-1 Mpc-1 By converting of formula (4), we get the distance D in (Mpc) D c z H (t) (5) Formula (5) also expresses that the distance D increases proportional to the Redshift z. Given that the quasars have very large redshifts; showing that these objects are moving at relativistic recession velocities; it is necessary to use the exact formula for the relativistic Doppler shift [6]. 1 v 2 (1 c ) 1 (1 v ) 12 c (6) On the other hand, there is another relativistic transformation equation for the volume of the material bodies. Since the transverse dimensions do not change because of the motion, the volume V of a body decreases according to the following formula [6]. V V0 1 v2 (7) c2 Where Vo is the proper volume of the body. It is well known from Optics that the ratio of the image size q, to the object size p is what is called the magnification M; so that, M=q/p. According to the relativistic transformation equation 7, it could be considered that V is the volume image, and Vo is the volume object; in such a way that [6]. M 1 v2 c2 And also we can calculate Redshift as lookback Time from the following equation [6]. tn t (1 z ) 3 2 Where tn 13.73 Gyr (8) (9) (i) Also from Redshift we can determine the Post-recombination Density nH using the following equation [6]. nH 1.6 x10-7 (1+z)3 Cm-3 (10) At recombination (z ~1000): nH ~ 200 cm-3, at reionization (z ~ 7): nH ~ 10-4 cm-3 . Also from Redshift we can determine the Atomic Hydrogen Abundance X(H) using the following equation [6]. X(H) = 4Χ108 (1+z)3 << 1 (11) Gunn and Peterson (GP) calculate the observed absorption optical depth from Redshift of Quasar as following equation [6]. ƮGP ≈ 2.6Χ104 X(H) (1+z)3/2 (12) In this work, We selected eight single quasars and four double quasars from the Sloan Digital Sky Survey (SDSS) to measure the Redshift of quasars [7] . 3. SPECTRAL ANALYSIS of SINGLE QUASARS Eight single quasars have been detected from SDSS and found Object ID (objID), Right ascension (Ra) and Declination (Dec) as shown in table 1. Figures 1-8 show the absorption spectrum lines of the eight single quasars. Volume 3, Issue 5, May 2014 Page 50 International Journal of Application or Innovation in Engineering & Management (IJAIEM) Web Site: www.ijaiem.org Email: editor@ijaiem.org Volume 3, Issue 5, May 2014 Table 1: Object ID , Right ascension , and Declination Quasar Name objID SDSS J100120.82+555349.8 1237658304350257268 SDSS J095918.70+020951.5 1237651753997107470 SDSS J093857.01+412821.2 1237657873256677409 SDSS J141647.21+521115.5 1237659120933077046 SDSS J141030.62+511113.8 SDSS J005006.35-005319.2 SDSS J000552.33-000655.6 SDSS J222851.23+011432.3 1237659131670626499 1237657189836980651 1237657190905873463 1237678595933012413, ISSN 2319 - 4847 for Selected Single Quasars Ra Dec 150.33678577 55.8971917 149.82793113 2.16430995 144.73756498 41.47257299 214.19674395 52.18764298 212.62759242 12.52645863 1.46805 337.21346871 51.18717501 -0.88869374 -0.11546 1.24230848 Fig.1: Absorption Spectrum line of Quasar SDSS J100120.82+555349.8 Fig.2: Absorption Spectrum line of Quasar SDSS J095918.70+020951.5 Fig3: Absorption Spectrum of Quasar SDSS J093857.01+412821.2 Volume 3, Issue 5, May 2014 Page 51 International Journal of Application or Innovation in Engineering & Management (IJAIEM) Web Site: www.ijaiem.org Email: editor@ijaiem.org Volume 3, Issue 5, May 2014 ISSN 2319 - 4847 Fig.4: Absorption Spectrum of Quasar SDSS J141647.21+521115.5 Fig.5: Absorption Spectrum of Quasar SDSS J141030.62+511113.8 Fig.6: Absorption Spectrum line of Quasar SDSS J005006.35-005319.2 Fig.7: Absorption Spectrum line of Quasar SDSS J000552.33-000655.6 Volume 3, Issue 5, May 2014 Page 52 International Journal of Application or Innovation in Engineering & Management (IJAIEM) Web Site: www.ijaiem.org Email: editor@ijaiem.org Volume 3, Issue 5, May 2014 ISSN 2319 - 4847 Fig8: Absorption Spectrum line of Quasar SDSS J222851.23+011432.3 We matching the wavelengths of the absorption lines in the spectrum λobs (Å ) of quasars at a value of flux F(λ), with those observed from the pure source in the laboratory λrest (Å) [7] Tables 2-9 reflects the extrapolated chemical elements for these single Quasars. By applying the equations which are mentioned previously, we found the features measured from absorption spectra as illustrated in Tables 10-17. The relationship between the optical depths as a function of different values of redshift is shown in figure9. The linear relationship between Recession velocities as a function of distance is shown in figure 10. The slope determines the value of the Hubble constant. By drawing the relationship between the Look back times as a function of the redshift for different quasars as shown in figure 11, it clear that whenever the redshift is less whenever the value of look back time is higher. Table 2: The chemical composition of Quasar SDSS J100120.82+555349.8 Chemical Element F(λ) λobs (Å) λrest (Å) O II 65.82 4975 3728.8 Ne II 59.7832 5162.5 3868.7 HƔ 57.6171 5800 4840.48 O III 58.653 6725 5006.8 Table 3: The chemical composition of Quasar SDSS J095918.70+020951.5 Chemical Element F(λ) obs. Å rest Å C III 6.9331 4100.89 1909 Mg 5.18 6036.46 2851.6 O II 6.5909 8040.93 3728.8 HƔ 4.66 8842.72 4101.75 Ne II 3.7 8354.13 3868 Table4: The chemical composition of Quasar SDSS J093857.01+412821.2 Chemical Elements F(λ) obs Rest Å Å C IV 183.32 4550.949 1550.77 He II 118.8148 4838.77 1640.5 C III 113.646 5633.4 1909 Mg 75.99 8280.111 2851.6 Table 5: The chemical composition of Quasar SDSS J141647.21+521115.5 Chemical Element F(λ) obs Rest Å Å Lyα 63.39 3831.25 1215.67 C IV C III Mg Volume 3, Issue 5, May 2014 25.463 1 15.816 5 11.905 4875 1550.77 6012.5 1909 8831.25 2851.6 Page 53 International Journal of Application or Innovation in Engineering & Management (IJAIEM) Web Site: www.ijaiem.org Email: editor@ijaiem.org Volume 3, Issue 5, May 2014 ISSN 2319 - 4847 Table 6: The chemical composition of Quasar SDSS J141030.62+511113.8 Chemical Element F(λ) Lyα 33.77 obs Å 5213.4 rest Å 1215.67 C IV 17.54 6559.2 1550.77 C III 23.81 8046.36 1909 Table7: The chemical composition of Quasar SDSS J005006.35-005319.2 Chemical Element F(λ) Lyα 6.5077 obs Å 6446.927 Rest Å 1215.67 C IV 3.5232 8155.307 1550.77 He II 3.4374 8579.329 1640.5 Table 8: The chemical composition of Quasar SDSS J000552.33-000655.6 Chemical Element F(λ) obs Rest Å Å HeI Lyα S IV+OIV 2.988 6.5549 2.1964 3797.659 8729.431 10348.94 537.029 1215.67 1507.93 Table 9: The chemical composition of Quasar SDSS J222851.23+011432.3 Chemical Element F(λ) obs Rest Å Å HeI NI Lyα 65.6089 207.97 22.7273 4369.49 6705.02 8978.77 584.33 885.67 1215.67 Table10: The features measured of absorption line of quasar SDSS J100120.82+555349.8 Z Z V(Km/Sec) D(Mpc) M T(Gyr) n(H) X(H) Relative 0.334 100260 2005.2 0.945 8.909 0.415 3.80 x10-7 9.50x10-8 -7 0.3344 100320 2006.4 0.942 8.906 0.416 3.801x10 9.50 x10-8 0.1982 59460 1189.2 0.980 10.647 0.222 2.75 x10-7 9.88 x10-8 0.3432 102960 2059.2 0.939 8.820 0.430 3.877 x10-7 9.7 x10-8 Line O II Ne II HƔ O III Average 0.3025 90750 1815 0.951 9.321 0.371 3.80 x10-7 Ʈ(GP) 0.003 0.003 0.002 0.003 9.64 x10-8 0.003 Table 11: The features measured of absorption line of Quasar SDSS J095918.70+020951.5 Line Z C III Mg O II HƔ Ne II 1.148 1.116 1.156 1.155 1.159 V (km/ sec) 344400 335070 346920 346740 347940 Average 1.147 344214 D(Mpc) M T(Gyr) Z Relative n(H) (cm-3) X(H) Ʈ(GP) 6888 6701.4 6938.4 6934.8 6958.8 0.564 0.497 0.580 0.579 0.587 4.360 4.457 4.335 4.337 4.325 2.809 3.255 2.713 2.719 2.676 1.586X 10-6 1.517 X10-6 1.604 X10-6 1.603 X10-6 1.612 X10-6 3.965X 10-7 3.794X 10-7 4.011 X10-7 4.007x X10-7 4.030 X10-7 0.032 0.030 0.033 0.033 0.033 6884.28 0.561 4.363 2.834 1.584 X10-6 3.961 X10-7 0.032 Volume 3, Issue 5, May 2014 Page 54 International Journal of Application or Innovation in Engineering & Management (IJAIEM) Web Site: www.ijaiem.org Email: editor@ijaiem.org Volume 3, Issue 5, May 2014 ISSN 2319 - 4847 Table 12: The features measured of absorption line of Quasar SDSS J093857.01+412812.2 Line Z V (Km/ Sec) D(Mpc) M T(Gyr) Z Relative n(H) (cm-3) X(H) C IV 1.934 58038 11607.6 1.656 2.731 0.772 4.043X 10-6 1.010 X10-6 0.132 -6 -6 Ʈ(GP) He II C III 1.949 1.951 58488 58530 11697.6 11706 1.673 1.675 2.710 2.708 0.762 0.761 4.105 X10 4.111 X10-6 1.026 X10 1.027 X10-6 0.135 0.135 Mg 1.903 57111 11422.2 1.619 2.774 0.792 3.9171X10-6 0.979 X10-6 0.126 0.772 -6 -6 0.132 Average 1.934 580417.5 11608.35 1.656 2.731 4.044X 10 1.011X 10 Lyα C IV Table13: The features measured of absorption line of Quasar SDSS J141647.21+521115.5 Z V D(Mpc) X(H) Z T(Gyr) n(H) (cm-3) (Km/Sec) M Relative 2.151 645480 12909.6 1.905 2.454 0.654 5.008 X10-6 1.252X10-6 2.143 643080 12861.6 1.896 2.463 0.658 4.970 X10-6 1.242 X10-6 C III 2.149 Line Mg 2.096 Average 2.135 644880 629070 640627.5 12897.6 12581.4 12812.55 1.902 1.843 1.886 2.456 2.519 2.473 Ʈ(GP) 0.182 0.180 0.655 4.998 X10-6 1.249 X10-6 0.181 0.680 -6 -6 0.168 -6 0.178 0.662 4.752 X10 -6 4.932 X10 1.188 X10 1.232X10 Table 14: The features measured of absorption line of Quasar SDSS J141030.62+511113.8 Line Z V(Km/Sec) D(Mpc) M T(Gyr) Lyα C IV C III Average 3.288 3.229 3.215 3.244 986550 968880 964500 973310 19731 19377.6 19290 19466.2 3.132 3.070 3.055 3.086 1.546 1.5784 1.5866 1.570333 Z Relative 0.3689 0.377 0.379 0.375 n(H) (Cm-3) X(H) 1.261X10-5 1.210X10-5 1.198 X10-5 1.223 X10-5 3.154 X10-6 3.026 X10-6 2.995 X10-6 3.058 X10-6 Ʈ(GP) 0.728 0.684 0.673 0.695 Table 15: The features measured of absorption line of Quasar SDSS J005006.35-005319.2 Line Z V (Km/Sec) D(Mpc) M T(Gyr) Z Relative n(H) (Cm-3) X(H) Ʈ(GP) Lyα 4.303 1290960 25819.2 4.1854 1.1243 0.267 2.386X10-5 5.96X10-6 1.894 C IV 4.258 1277670 25553.4 4.1398 1.1385 0.270 2.327 X10-5 5.81 X10-6 1.824 He II 4.229 1268910 25378.2 4.1098 1.148 0.272 2.288 X10-5 5.72 X10-6 1.779 0.269 -5 -6 1.832 Average Line He I Lyα S IV+OIV Average 4.263 1279180 25583.6 4.145 1.1369 2.333 X10 5.83 X10 Table16: The features measured of absorption line of Quasar SDSS J000552.33-000655.6 Z Z V(Km/Sec) D(Mpc) M T(Gyr) n(H) (Cm-3) X(H) Relative 1821482.58 36429.6 6.071 5.988 0.730 0.180 5.658 X10-5 1.414 X10-5 3 5 1854227.23 37084.5 6.180 6.099 0.713 0.177 5.924 X10-5 1.481 X10-5 3 4 1758903.26 35178.0 5.863 5.777 0.763 0.187 5.172 X10-5 1.293 X10-5 5 7 1811537.69 36230.7 6.038 5.955 0.735 0.182 5.584 X10-5 1.396 X10-5 3 5 Volume 3, Issue 5, May 2014 Ʈ(GP) 6.916 7.409 6.044 6.790 Page 55 International Journal of Application or Innovation in Engineering & Management (IJAIEM) Web Site: www.ijaiem.org Email: editor@ijaiem.org Volume 3, Issue 5, May 2014 ISSN 2319 - 4847 Table 17: The features measured of absorption line of Quasar SDSS J222851.23+011432.3 Z Z V(Km/Sec) D(Mpc) M T(Gyr) n(H) (cm-3) X(H) Relative -5 6.477 1943333.39 38866.67 6.400 0.671 0.168 6.69 X10 1.672 X10-5 -5 6.570 1971168.72 39423.37 6.494 0.659 0.165 6.942 X10 1.735 X10-5 -5 6.385 1915758.388 38315.17 6.307 0.684 0.171 6.446 X10 1.611 X10-5 6.478 1943420.166 38868.4 6.400 0.671 0.168 6.693 X10-5 1.673 X10-5 Line He I NI Lyα Average Ʈ(GP) 8.892 9.399 8.410 8.900 Fig9: Relationship between Optical depth and Redshift Fig .10: Relationship between Velocity and Distance . Fig.11: Relation between Look back time and Redshift 4. SPECTRAL ANALYSIS of DOUBLE QUASARS Four double quasars have been detected from SDSS and found Object ID (objID), Right ascension (Ra) and Declination (Dec) as shown in table 18. Figures 12-15 show the absorption spectrum lines of these quasars. Tables 19-22 reflect the extrapolated chemical elements for these quasars. The features measured from absorption spectra are illustrated in Tables 23-26. Also, we can find that the relationship between the optical depth as a function of different values of redshift of some simple of double quasars, as shown in figure 16. Figure 17 illustrates the linear relationship between recession velocities as a function of distance. By drawing the relationship between the Look back times as a function of the redshift of different quasars, we find that whenever the redshift is less whenever the value of look back time is higher (see figure 18). Table 18: Object ID , Right ascension , and Declination for Selected Double Quasars Quasar Name objID Ra Dec SDSS J115518.29+193942.2 1237668297664692248, 178.82622193 19.6617253 587742576439787545 SDSS J162026.14+120342.0 1237668366927004166, 245.10892899 12.06167583 587742645702099442, SDSS J133907.13+131039.6 587738568175058991, 204.77974079 13.17767316 1237664289399963687, SDSS J125418.94+223536.5 587742014361174098, 193.57895411 22.59348404 1237667735586078852, Volume 3, Issue 5, May 2014 Page 56 International Journal of Application or Innovation in Engineering & Management (IJAIEM) Web Site: www.ijaiem.org Email: editor@ijaiem.org Volume 3, Issue 5, May 2014 ISSN 2319 - 4847 Fig. (12): Absorption Spectrum line of Quasar SDSS J115518.29+193942.2 Fig13: Absorption Spectrum line of Quasar SDSS J162026.14+120342.0 Fig.14: Absorption Spectrum line of Quasar SDSS J133907.13+131039.6 Fig.15: Absorption Spectrum line of Quasar SDSS J125418.94+223536.5 Volume 3, Issue 5, May 2014 Page 57 International Journal of Application or Innovation in Engineering & Management (IJAIEM) Web Site: www.ijaiem.org Email: editor@ijaiem.org Volume 3, Issue 5, May 2014 ISSN 2319 - 4847 Table (19): The chemical composition of Quasar SDSS J115518.29+193942.2 F(λ) Chemical Element obs Rest Å Å C III 147.67 3852.033 1909 C II 76.17 4669.705 2326 Mg II 87.05 5606.311 2800 Ne IV 72.35 4900.14 2439.5 Ne V 48.52 6847.68 3346.79 Table (20): The chemical composition of Quasar SDSSJ162026.14+120342.0 Chemical Element F(λ) obs Rest Å Å C III 18.54 4104.76 1909 Mg II 13.15 5985.41 2795.5 Ne IV 9.101 5227.2 2439.5 C II 9.425 4989 2326 He I 5.9816 8245.161 4388 Table (21): The chemical composition of Quasar SDSSJ133907.13+131039.6 Chemical Element F(λ) obs Rest Å Å Lyα 59.57 3932.99 1215.42 NV 41.43 4005.232 1239.42 OI 28.23 4219.036 1305.53 C II 26.5 4293.13 1335.32 C IV 29.58 4968.9 1545.86 Table (22): The chemical composition of Quasar SDSSJ125418.94+223536.5 Line Z C III C II Mg II Ne IV Ne V Average 1.017 1.007 1.002 1.008 1.046 1.016 Line Z C III Mg II 1.150 1.141 Chemical Element F(λ) Lyα NV C IV C III O IV 28.0571 obs Å 5613.03 Rest Å 1215.24 10.65 8.95 5.8913 5.8913 5720.76 7110.45 8715.24 4760.76 1239.42 1545.86 1909 1033.3 Table (23): The features measured of Quasar SDSS J115518.29+193942.2 Z V(Km/Sec) D(Mpc) M T(Gyr) Relative n(H) (cm-3) 305348.297 302283.534 300676.178 302599.713 313813.236 304944.191 6106.965 6045.670 6013.523 6051.994 6276.264 6098.883 0.189 0.123 0.064 0.131 0.306 0.162 4.790 4.826 4.846 4.822 4.691 4.795 9.647 15.252 29.167 14.229 5.669 14.793 1.314X10-6 1.294 X10-6 1.284 X10-6 1.296 X10-6 1.370 X10-6 1.311 X10-6 X(H) Ʈ(GP) 3.286 X10-7 3.236 X10-7 3.210 X10-7 3.241 X10-7 3.426 X10-7 3.279 X10-7 0.024 0.023 0.023 0.023 0.026 0.024 Table (24): The features measured of Quasar SDSSJ162026.14+120342.0 Z n(H) (CmV(Km/Sec) D(Mpc) M T(Gyr) X(H) Relative 3) 345064.431 6901.288 0.568 4.354 2.783 1.590X10-6 3.976X10-7 342326.238 6846.524 0.549 4.382 2.895 1.570X10-6 3.926X10-7 Volume 3, Issue 5, May 2014 Ʈ(GP) 0.0325 0.0319 Page 58 International Journal of Application or Innovation in Engineering & Management (IJAIEM) Web Site: www.ijaiem.org Email: editor@ijaiem.org Volume 3, Issue 5, May 2014 Ne IV 1.142 342820.250 6856.405 0.553 4.377 2.883 1.574X10-6 C II 1.144 343465.176 6869.303 0.557 4.370 2.847 1.578X10-6 ISSN 2319 - 4847 3.935X10-7 3.947 X107 0.0320 0.0322 - He I 0.879 263707.452 5274.149 0.476 5.330 1.852 1.061X10-6 2.653 X10 7 0.0177 Avera ge 1.091 327476.709 6549.534 0.541 4.563 2.652 1.475X10-6 3.687X10-7 0.0293 Line Z Lyα NV OI C II C IV Average 2.235 2.231 2.231 2.215 2.214 2.225 Table (25): The features measured of Quasar SDSS J133907.13+131039.6 Z n(H) (CmV(Km/Sec) D(Mpc) M T(Gyr) X(H) Relative 3) 670773.0 13415.46 1.999 2.358 0.618 5.421X10-6 1.355X10-6 669461.1 13389.22 1.994 2.363 0.62 5.399X10-6 1.349X10-6 669499.5 13389.99 1.995 2.363 0.619 5.400X10-6 1.350X10-6 664517.0 13290.34 1.975 2.381 0.627 5.317X10-6 1.329X10-6 664298.1 13285.96 1.975 2.382 0.626 5.313X10-6 1.328X10-6 667709.8 13354.2 1.988 2.369 0.622 5.370X10-6 1.342X10-6 Ʈ(GP) 0.205 0.203 0.203 0.199 0.199 0.202 Table (26): The features measured of Quasar SDSS J125418.94+223536.5 Line Z Lyα 3.618 V(Km/Sec) 1085659.6 D(Mpc) M 21713.19 3.477 T(Gyr) Z Relative n(H) (Cm-3) 1.383 0.328 1.576X10-5 Ʈ(GP) X(H) 3.941 X10-6 1.017 -5 -6 NV C IV C III 3.615 3.599 3.565 1084702.5 1079901.8 1069602.9 21694.05 21598.04 21392.06 3.4745 3.457 3.422 1.384 1.391 1.407 0.365 0.330 0.334 1.573 X10 1.557 X10-5 1.522 X10-5 3.933 X10 3.892 X10-6 3.806 X10-6 1.014 0.998 0.965 O IV Average 3.607 3.601 1082200.7 1080413.5 21644.01 21608.27 3.465 3.459 1.388 1.391 0.330 0.337 1.564 X10-5 1.558 X10-5 3.912 X10-6 3.897 X10-6 1.005 1.000 Fig.16: Relation between Optical depth and Redshift Fig.17: Relation between Velocity and Distance Volume 3, Issue 5, May 2014 Page 59 International Journal of Application or Innovation in Engineering & Management (IJAIEM) Web Site: www.ijaiem.org Email: editor@ijaiem.org Volume 3, Issue 5, May 2014 ISSN 2319 - 4847 Fig18: Relation between Lookback time and Redshift 5. CONCLUSIONS In this paper, the absorption spectra of eight single and four double quasars were studied and analyzed, We found that mostly elements of spectra single quasars are (O II, O III, Mg, H Ɣ, Ne II, C III, He II, and sometime He I, N I), but mostly elements of spectra double quasars are (C II, C III, Mg II, Ne IV, N V, and Sometimes O I, O IV, Ne V). From the results, it is found that the single quasars span a redshift range of 0.335 ≤ z ≤ 6.47and the double quasars span a redshift of 1.01 ≤ z ≤ 3.64. The features of absorption line, speed, distance, relativistic redshift, magnification, post-recombination density, look back time and Gunn-Peterson Optical depth were calculated. The value of magnification always less than one if speed of quasar is less than the speed of light (if v<c always M<1). .Also the results indicated that whenever the redshift is less whenever the value of look back time is higher and the value of optical depth is less. References [1] Allison. R. Hill, S. C. Gallagher, R. P. Deo, E. Peeters and Gordon. T. Richards," Characterizing Quasars in the Midinfrared: High Signal-to-Noise Spectral Templates", Mon. Not. R. Astron. Soc., 2013. [2] Valentina D., " Quaser Absorption Spectra: Probes Of The Baryonic Gas At High Redshift ", Ph.D. thesis submitted to Isis-international school for advanced studies,1999. [3] Gisella D. "A comprehensive analysis of optical and near-infrared spectroscopy of z_6 quasars",Ph.D thesis submitted to Combined Faculties of the Natural Sciences and Mathematics ,University of Heidelberg, Germany,2011. [4] Huang, W.-R., Chen, Z.-F., Qin ,Y.-P., . Li , Liao M.-S, He, R.-H., Han W.-W., F., Zhong, Y.-Q., Gan J.-Q. and Zhou ,W. "Identification of MgII Absorption Line Systems from SDSS Quasar Catalogue" J. Astrophys. Astr., 32, 277–280, 2011. [5] Liddle, A. , "An Introduction to Modern Cosmology – second Edition ", West Sussex PO19 8SQ, 2003. [6] "Quasar Absorption Lines" http://astro.berkeley.edu/~ay216/08/NOTES/Lecture26-08.pdf,1996. [7] Sloan Digital Sky Survey http://www.sdss.org Authors Bushra Q. Al-Abudi received Ph.D. degree in Astronomy in 2002 from University of Baghdad, College of Science, Department of Astronomy and Space . Currently she is professor in Astronomy department and her research interests include spectroscopy and photometry analysis of binary stars. Nuha S. Fouad received B.Sc. degrees in Astronomy in 2012 from university of Baghdad, College of Science, Department of Astronomy and Space. Currently she is M.Sc. student in Astronomy department. Volume 3, Issue 5, May 2014 Page 60