I got particle size from AFM , it is more than 140nm but for same sample i got large surface more than 170 m2 /g with pore volume 0.06 ml/g by use BET surface area.
Riyadh Abdullah Depends on your material. I thought I'd seen earlier that you were referring to TiO2 (which has a density of ~ 4.2 g/cm3). In this case your SSA translates to ~ 40.5 m2/cm3. For unit density, particles of 100 nm have a SSA of 60 m2/cm3. So, your converted D[3,2] or Sauter Mean Diameter is ~ 150 nm. So, perfectly feasible, IMHO. Indeed, the (excellent) agreement is pretty suspicious!
Riyadh Abdullah There is nothing more to explain. This is fundamental math to all SSA and particle sizing which you need to understand if you're undertaking SSA measurements. It's akin to asking why the volume of a sphere is (π/6)*d3... I suggest you read texts such as:
S J Gregg, K S W Sing: Adsorption, Surface Area and Porosity Academic Press (1982)
T Allen Particle Size Measurement Chapman and Hall (1993)
J R Anderson Structure of Metallic Catalysts Academic Press (1975)
J M Dalla Valle Micromeritics : the technology of fine particles Pitman Publishing (1943)
or alternatively request a chapter from the arch criminal: