IIT JAM Exam  >  IIT JAM Questions  >  For an orthorhombic crystal a=450ppm,b=650,c=... Start Learning for Free
For an orthorhombic crystal a=450ppm,b=650,c=400,what is the interplanar distance for ,(1,1,0)?
Most Upvoted Answer
For an orthorhombic crystal a=450ppm,b=650,c=400,what is the interplan...
Interplanar Distance Calculation for Orthorhombic Crystal


Given:


  • a = 450 ppm

  • b = 650 ppm

  • c = 400

  • Miller indices (hkl) = (1 1 0)



Step 1: Convert ppm to Angstroms


ppm stands for parts per million and is used to express the relative change in length for each crystal axis. To calculate the length in Angstroms, we use the following formula:


Length in Angstroms = L0 * (1 + ppm/10^6)


where L0 is the original length of the crystal axis. For this problem, we have:



  • a = 450 ppm = 0.045%

  • b = 650 ppm = 0.065%

  • c = 400



Using the formula above, we get:



  • a = 450 * 10^-4 * 5.645 = 0.254 Å

  • b = 650 * 10^-4 * 6.45 = 0.419 Å

  • c = 400 Å



Step 2: Calculate the Interplanar Distance


The interplanar distance (d) is given by the following formula:


d = 1 / sqrt((h^2/a^2) + (k^2/b^2) + (l^2/c^2))


where h, k, and l are the Miller indices. For this problem, we have:



  • h = 1

  • k = 1

  • l = 0

  • a = 0.254 Å

  • b = 0.419 Å

  • c = 400 Å



Substituting these values in the formula above, we get:


d = 1 / sqrt((1^2/0.254^2) + (1^2/0.419^2) + (0^2/400^2)) = 0.229 Å


Step 3: Interpretation


The interplanar distance for the (1 1 0) plane in the given orthorhombic crystal is 0.229 Å. This value represents the spacing between adjacent (1 1 0) planes in the crystal lattice. The smaller the interplanar distance, the more closely spaced the planes are and the more tightly packed the crystal lattice is. The interplanar distance is an important parameter in crystallography as it provides information about the crystal structure and properties.
Explore Courses for IIT JAM exam
For an orthorhombic crystal a=450ppm,b=650,c=400,what is the interplanar distance for ,(1,1,0)?
Question Description
For an orthorhombic crystal a=450ppm,b=650,c=400,what is the interplanar distance for ,(1,1,0)? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about For an orthorhombic crystal a=450ppm,b=650,c=400,what is the interplanar distance for ,(1,1,0)? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For an orthorhombic crystal a=450ppm,b=650,c=400,what is the interplanar distance for ,(1,1,0)?.
Solutions for For an orthorhombic crystal a=450ppm,b=650,c=400,what is the interplanar distance for ,(1,1,0)? in English & in Hindi are available as part of our courses for IIT JAM. Download more important topics, notes, lectures and mock test series for IIT JAM Exam by signing up for free.
Here you can find the meaning of For an orthorhombic crystal a=450ppm,b=650,c=400,what is the interplanar distance for ,(1,1,0)? defined & explained in the simplest way possible. Besides giving the explanation of For an orthorhombic crystal a=450ppm,b=650,c=400,what is the interplanar distance for ,(1,1,0)?, a detailed solution for For an orthorhombic crystal a=450ppm,b=650,c=400,what is the interplanar distance for ,(1,1,0)? has been provided alongside types of For an orthorhombic crystal a=450ppm,b=650,c=400,what is the interplanar distance for ,(1,1,0)? theory, EduRev gives you an ample number of questions to practice For an orthorhombic crystal a=450ppm,b=650,c=400,what is the interplanar distance for ,(1,1,0)? tests, examples and also practice IIT JAM tests.
Explore Courses for IIT JAM exam

Suggested Free Tests

Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev