| A | Amplitude of the mono-frequency vibration |
| E | Yong’s modulus of the work material |
| F(x) | Surface profile in one feed rate |
| H | Hardness of the work material |
| Rtew(x) | Surface profile in one feed rate with consideration of tool edge waviness |
| Rtew-wi(x) | Active tool edge profile in one feed rate (without consideration of the tool edge waviness) |
| SP | Average swelling ratio in the radial direction |
| SRi | Local swelling ratio SPi at the ith radial section |
| e | Correct coefficient considering the influence of strain gradient strengthening effect of work material |
| f | Feed rate per revolution |
| f n | Spindle rotation frequency in diamond turning |
| fz | Vibration frequency in diamond turning |
| h | Contact depth in the scratch test |
| h a | Height component induced by the material side flow |
| h Dmin | Minimum undeformed chip thickness |
| k | Corresponding linear coefficient in relation to the contact behavior |
| p e | Elastic recovery rate when ploughing/rubbing occurs. |
| r n | Cutting edge radius of diamond tool |
| r z-n | Ratio of the vibration frequency to the spindle rotation frequency |
| r ε | Corner nose radius of diamond tool |
| s r | Value of material spring back in the margin position (x =±f/2) in one feed rate |
| t Bm | Time points when the diamond tool locates at the point Bm |
| t BM | Time points when the diamond tool locates at the point BM |
| t c | Chip thickness in diamond turning |
| t cmax | Maximum undeformed chip thickness |
| t cmin | Minimum undeformed chip thickness |
| t e | Elastic deformation limit of the work material |
| w | Roughness component in relation to the material plastic side flow |
| w r | Value of material plastic side flow in the center (x = 0) in one feed rate |
| zv(t) | Vibration function at the cutting time t |
| Δ | Integer part of the frequency ratio |
| δtc | Distribution model of material spring back |
| ε | Decimal fraction part of the frequency ratio and in the range of -0.5 to 0.5 |
| η | Coefficient in relation to the material spring back |
| θ | Angular coordinate for the point on the workpiece surface |