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X-Ray Spectrometry - Survival-training.info

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Chapter 2X-<strong>Ray</strong> Sources2.1 Micro X-ray SourcesM. TAYLOR, R. BYTHEWAY and B. K. TANNERBede plc, Durham, UK2.1.1 INTRODUCTIONA little over a century ago, X-rays were discoveredby Wilhelm Conrad Röntgen (Röntgen, 1995) asa result of the impact of a beam of electrons,accelerated through an electrostatic field, on ametallic target. Current commercial X-ray tubeswork on the self-same principle, heated cathodeshaving replaced the original cold cathodes andwater cooling enabling much higher power loadsto be sustained. Electrostatic focusing of theelectron beam is used in almost all tubes andof the incremental improvements in sealed tubeperformance over the past 50 years, the recentdevelopment of ceramic tubes (e.g. Bohler andStehle, 1998) by Philips is the only one of note.A discrete step in performance occurred inthe late 1950s with the development (Daviesand Hukins, 1984; Furnas, 1990) of the rotatinganode generator. Through rapid rotation (severalthousand revolutions per minute) of the target,the heat load and hence X-ray emission, couldbe increased as the heated region is allowed tocool in the period when away from the electronbeam. Rotating anode generators are manufacturedby a number of companies and provide the highestoverall power output of any electron impact device.It was recognized many years ago that forsome applications, in particular those involvingimaging, that a small source size was desirable.In the 1960s Hilger and Watts developed a demountable,continuously pumped X-ray tube thatfound use, for example, in X-ray diffractiontopography (Bowen and Tanner, 1998) of singlecrystals. One of the electron optical configurationsfor this generator gave a microfocus source butwith the demise of the company and the adventof synchrotron radiation, use of such very smallsources was unusual.The limitation of electron impact sources liesprincipally in the ability to conduct heat away fromthe region of electron impact, hence limiting thepower density on the target. Heat flow in solidsis governed by the heat diffusion equation, firstderived by Fourier in 1822. This describes thetemperature T at any point x, y, z in the solidand at time t. Assuming that there is a heat sourcedescribed by the function f(x,y,z,t) we have∂T /∂t = α 2 ∇ 2 T + f/cρ (2.1.1)where α = (K/cρ) 1/2 and K is the thermal conductivity,c is the heat capacity and ρ is the density.Thus under steady-state conditions, the key parameterin determining the temperature distributionX-<strong>Ray</strong> <strong>Spectrometry</strong>: Recent Technological Advances. Edited by K. Tsuji, J. Injuk and R. Van Grieken© 2004 John Wiley & Sons, Ltd ISBN: 0-471-48640-X

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