Question
Download Solution PDFA beam of X-rays is constructively scattered in second order from the surface of the crystal at an angle of 30° and the spacing between layers of atoms in NACl crystal is 4.5 × 10-10 m. The wavelength of X-rays is ______
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
ब्रैग का नियम :
ब्रैग्स का नियम कोण θ (जिस पर विवर्तित तीव्रता में उच्चिष्ट होता है) को X-किरणों की तरंग दैर्ध्य और जालक में परमाणुओं/आयनों/अणुओं के समतलों के बीच आन्तरपरत दूरी d से संबंधित करता है। रचनात्मक व्यतिकरण के लिए स्थिति (परावर्तित में उच्चिष्ट)।
nλ = 2d sinθ
λ = X-किरण की तरंग दैर्ध्य
d = क्रिस्टल परतों की दूरी
θ = आपतित कोण (आपतित समतल और प्रकीर्णन समतल के बीच का कोण)
n = पूर्णांक (कोटि)
गणना:
दिया गया है:
d = 4.5 × 10-10 m, θ = 30°, n = 2
हम जानते हैं कि,
nλ = 2d sin θ
∴ 2λ = 2 × 4.5 × 10-10 × sin 30°
λ = 2.25 × 10-10 m
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