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MSE Ch 5
Atomic and Ionic movements in materials.
| Term | Definition |
|---|---|
| In diffusion, the magnitude of flux depends on ___ and ___. | the initial concentration, temperature |
| Diffusing C into Fe from the surface is called ___ or ___. | carburizing, case hardening |
| Case hardening with nitrogen is called ___. | nitriding |
| Name the 2 ways diffusion occurs. | through interstitial sites or through defects |
| Is diffusion more difficult through defects or interstitial spaces? | interstitial spaces |
| When diffusion occurs at a grain boundary it can cause the boundary to ___. | move |
| Diffusion through crystals is usually through defects because ___. | atoms are usually too large to fit in interstitial sites |
| T or F? Vacancies are always moving. | True |
| Name the 3 types of diffusion. | 1. volume, 2. grain boundary, 3. surface. |
| Name the 3 subtypes of volume diffusion. | 1. interstitial, 2. vacancy, 3. dislocations. |
| Increasing the number of grains ___(increases/decreases) the grain boundary area and thus ___(increases/decreases) the rate of diffusion. | increases, increases |
| Of the 3 types of diffusion, ___ difffusion is the most easily achieved. | surface |
| The energy required to begin diffusion is called ___ and is noted with ___. | activation energy, Q |
| ___ diffusion requires the most energy and ___ requires the least. | volume, surface |
| The Arrhenius equation for jump rate of atoms is ___. | Jump rate = c_0*e^(-Q/RT) |
| In c_0*e^(-Q/RT), c_0 = ___. | a constant for the material |
| Q is in ___ per ___. | cal, mol |
| The Arrhenius equation for diffusivity is ___. | D = D_0*e^(-Q/RT) |
| In D = D_0*e^(-Q/RT), D_0 = ___. | a constant for the material |
| Fick's first law is for ___ diffusion and describes the ___ of atoms. | steady state, flux |
| Fick's first law is defined by the equation ___. | J = -D(∆c/∆x) |
| In J = -D(∆c/∆x), J = ___. | flux of atoms |
| In J = -D(∆c/∆x), (∆c/∆x) = ___ and is in ___ units. | the concentration gradient, (atoms/cm³∙cm) |
| In J = -D(∆c/∆x), ∆c = ___. It will always be a ___ (-,+) number. | starting concentration minus ending concentration, (-) |
| In J = -D(∆c/∆x), ∆x = ___. | the distance or depth of the desired concentration |
| Steady state diffusion is ___(common/rare) in solids. | rare |
| All else being equal, D is higher in ___(FCC/BCC) structures because ___. | BCC, there is more space |
| As the temperature of Fe is INCREASED it changes phase from ___ Fe to ___ Fe at about ___°C or ___°K. | BCC, FCC, 912, 1185 |
| Fick's second law describes ___, AKA ___. | transient diffusion, non-steady state |
| Diffusion in solids is almost always ___. | transient |
| One solution to Fick's second law when at the surface of a material is the equation ___. | (c_s - c_x)/(c_s - c_0) = erf[x/s√(Dt)] |
| In (c_s - c_x)/(c_s - c_0) = erf[x/2√(Dt)], c_s = ___. | the constant concentration of diffusing atoms at the surface |
| In (c_s - c_x)/(c_s - c_0) = erf[x/2√(Dt)], c_x = ___. | the concentration of diffusing atoms at point x below the surface |
| In (c_s - c_x)/(c_s - c_0) = erf[x/2√(Dt)], c_0 = ___. | the starting concentration of diffusing atoms IN THE MATERIAL BEFORE diffusion occurs |
| In (c_s - c_x)/(c_s - c_0) = erf[x/2√(Dt)], D = ___. | diffusivity |
| In (c_s - c_x)/(c_s - c_0) = erf[x/2√(Dt)], t = ___. | seconds |
| In (c_s - c_x)/(c_s - c_0) = erf[x/2√(Dt)], x/2√(Dt) = ___. | the argument of the error function |
| erf can approach, but not reach or exceed ___. | 1 |
| Using an error function table, to find a value between the given values we must use a process called ___. | linear interpolation |
| T or F? Using an error function table, the left column is equal to x. | False. It is equal to x/2√(Dt). |
| erf is equal to the ratio of ___ divided by ___. | (starting surface concentration of diffusing atoms) - (concentration at location x AFTER diffusion occurs), (starting surface concentration of diffusing atoms) - (concentration of diffusing atoms already at location x BEFORE diffusion) |
| What are the units for erf? | None. |
| What are the units for the argument of the erf? | None. |