In this paper, firstly, in $E_1^3$, we defined normal Fermi-Walker derivative and applied for the adapted frame. Normal Fermi-Walker parallelism, normal non-rotating frame, and Darboux vector expressions of normal Fermi-Walker derivative by normal Fermi-Walker derivative are given for adapted frame. Being conditions of normal Fermi-Walker derivative and normal non-rotating frame are examined fo...

Operando X-ray studies of chemical reactions have gained increasing interest lately, fueled by the emergence a new generation powerful focused sources. Although it is well known that ionizing radiation causes damage to samples via radical chemistry, this effect often overlooked in working devices or catalysts where intense beams are used as nanoscale probes. Here, we show how an nanobeam direct...