Electrical properties of some single crystal dodecaborides /|nby Jyoti Burte. -- 260 St. Catharines [Ont. : s. n.],

PreVi011.3 ':i or~ : indicat e('. tk~t ho t~)rE's sed ~-Al B 12 1i~2, ~' a semiconductor. r:Toreove r , the s i mpl.(~ electronic t heory also indi cates that ~ -AIB1 2 should be a semico nductor, since thf're is one nonbonding e 'Le ctrofl per AlB12- uni t. JPor these reasons, we decided to measure t he electrical n ropert i ~ s of ~ -AlB1 2 single crystal s . Singl e crystal s of¥- AIB 12 ab ou t 1 x 1 r1n1 . size were grown from a copper mel t at 12500 C. The melt technique coupled. 1,vi th slow cooling vilas used because of i ts advantages such as : siTYInle set- up of the expe rimon t ; only e ;l.sil y available c hemi cals are required and it i s a c omparatively strair::bt forvvard y,le t hod still yielding crystal s big enouGh for OtU' purpose . Copper rms used as a solvent , i nst8ad of previOl.wly used aluminum , because it allows c.l.'ystal growth at hig he r t emneratures. HovlGver, the cry s tals of ] -AlB12 shm'red very hi gh res i s t ance a t r oom temperature . From our neasureJ'lents we conclude that the r esistivity of j3- Al B12 is, at least, given as ~ = 4. x 107 oblD .em •• Those results are inc ons i s t ent wi 'uh the ones .. reported by IIiss Khin fo r bot- pressed j3-AlB12 g i ven a s = 7600 ohm . em . or I e s s . ' Since tbe hot pressing was done at about 800 - ' 9000C i n ~ rap hi te moul ds 1,7i th 97% AlB12- p oVJder, vie thi nk there is pas s ib i 1 i ty th a.t lower borides or borot] carbide are , being formed, ':.Jhich are k11 own to be good semiconductors . v7e tried to ro-pe r-AlB12 by addi'J,'?: agents s uch as l:Ig , IG.-InO 4. ' HgS04 , KI12PO 4·' etc. to t he melt .. However , all these re age 11 t eel either reduced the yield and size of t lJe crystals or r;ave crystals of high r esis'can ce again. We think tba t molten copper keeps t he i mpurities off . There is also a pos s i bil i ty t hc:!,t these doping agents get oxidi~::;ed at '1 250°C • Hence, we co ~ clud e that J -AIB12 has v~ ry high r es i stance at r oom temperature . This was a l s o C011 - fi rmed by checki ng the siYlgle and. polycrystals of .~-AIB12 from Norton Co., Ontario and Cooper Nletallurgical Association. Boron carbide has been reported to be a semiconductor with ~ - 0.3 to 0.8 ohm . cm. for hotpres sed s araples. Boron carbide b e inq: struct urally related to ¥-AIB12 , we de cided to study the electrical prone rties of it~ Single crystals. These crystals were cut from a Single melt grovvn crystal a t Norton Co., Ontario. The resistivity of th," se crystal s was measured by the Van der Pam-v' s ~ nethod, which \vas very c onvenient fo r our crystal sha-pp.s. Some of the crystals showed resistivity ~ == 0.50 ob,Tn.cr] . i n agreement with the previously reported results . However , a few crystals showed lower resistivity e.g . 0 .13 and 0.20 ohm.cra • • The Hall mobility could .not be measured and th8reiore i s lower than 0 .16 em 2 v - 1 sec -1 • This is in agreement \vith t he re1)orted Hall mobility for pyrolytic boron . _ 2 -1 -1 carbide as 0.13 cm v sec • We also studied the orientation of the boron carbide crystals by the Jjaue-method. The inclination of c-axis with res pect to x-ray be81Il was det ermined . This was found to be 100 t o 20° f or normal resistivity sarnples (0.5 ohm . cm.) and 27 - 30° for t he lower r esistivity samples (0.1 ~5 to 0.20 ohm.cm .). This indica tes the possibility that th.e r es if.1tivity of B13C3 i s orientation dependent.

Magnetic properties of the Biâ Srâ CaCuâ Oâ single crystal

The Bi2Sr2CaCu20g single crystal with a superconducting transition temperature equal to 90 ± 2 K was prepared. The irreversibility line of the single crystal for a mgnetic field direction along the c-axis and T* in the ab-plane was determined. The reduced temperature (l - T ) is proportional to H 1.1 for fields below 004 T and proportional to HO.09 for fields above 0.4 T. The zero temperature upper critical field Hc2(0) and coherence length ~ (0) were determined from the magnetization meaurements to be H-lC2=35.9T , H//C2=31.2T, ~c(0)=35.0 A, and ~ab(0)=32.5A,and from the magnetoresistance measurements to be H-lc2 = 134.6T , H//C2=55.5T '~c(0)=38.1 A, and ~ab(0)=2404 A for both directions of the applied magnetic field. The results obtained for Hc2(0) and ~(O) are not reliable due to the rounding that the single crystal exhibits in the magnetization and magnetoresistance curves. The magnetization relaxation of the single crystal was investigated, and was found to be logarithmic in time, and the relaxation rate increases with temperature up to 50 -60 K, then decreases at higher temperatures.

Crystal growth, Raman scattering and optical properties of the superconductor Cd2Re2O7(16O, 18O)/

Using the Physical Vapor Transport method, single crystals of Cd2Re207 have been grown, and crystals of dimensions up to 8x6x2 mm have been achieved. X-ray diffraction from a single crystal of Cd2Re207 has showed the crystal growth in the (111) plane. Powder X-ray diffraction measurements were performed on ^^O and ^^O samples, however no difference was observed. Assigning the space group Fd3m to Cd2Re207 at room temperature and using structure factor analysis, the powder X-ray diffraction pattern of the sample was explained through systematic reflection absences. The temperatiure dependence of the resistivity measurement of ^^O has revealed two structural phase transitions at 120 and 200 K, and the superconducting transition at 1.0 K. Using Factor Group Analysis on three different structiures of Cd2Re207, the number of IR and Raman active phonon modes close to the Brillouin zone centre have been determined and the results have been compared to the temperature-dependence of the Raman shifts of ^^O and ^*0 samples. After scaling (via removing Bose-Einstein and Rayleigh scattering factors from the scattered light) all spectra, each spectrum was fitted with a number of Lorentzian peaks. The temperature-dependence of the FWHM and Raman shift of mode Eg, shows the effects of the two structurjil phase transitions above Tc. The absolute reflectance of Cd2Re207 - '^O single crystals in the far-infrared spectral region (7-700 cm~^) has been measured in the superconducting state (0.5 K), right above the superconducting state (1.5 K), and in the normal state (4.2 K). Thermal reflectance of the sample at 0.5 K and 1.5 K indicates a strong absorption feature close to 10 cm~^ in the superconducting state with a reference temperature of 4.2 K. By means of Kramers-Kronig analysis, the absolute reflectance was used to calculate the optical conductivity and dielectric function. The real part of optical conductivity shows five distinct active phonon modes at 44, 200, 300, 375, and 575 cm~' at all temperatures including a Drude-like behavior at low frequencies. The imaginary part of the calculated dielectric function indicates a mode softening of the mode 44 cm~' below Tc.