- Part A Some Scientists Have Speculated That The Selectivity Of Ion Channels Incel Membranes Could Be Due To Quantum Inte 1 (95.54 KiB) Viewed 40 times
channels in cell membranes could be due to quantum interference,
similar to the double-slit interference of electrons seen
in (Figure 1). Whether or not quantum effects could arise
depends on the de Broglie wavelength of the ions.
1. A 39K+ ion passes through a 4-nm
potassium ion channel in about 40 ps. What is the
ion's de Broglie wavelength?
2. The ion channel's diameter
is ≈0.3 nm. Suppose that ions undergo
circular-aperture diffraction while passing through the channel.
What is the width of the central maximum at a distance
of 10 nm?
3. The mean free path of ions in the cell is less
than 1 nm. Does it seem likely that any
quantum-interference effects could persist for a distance
of 10 nm, roughly the thickness of the cell
membrane?
Part A Some scientists have speculated that the selectivity of ion channels incel membranes could be due to quantum interference, similar to the double-sit interference of electrons seen in Eigure 1). Whether or not quantum cffects could Arise depends on the de Broglie wavelength of the lans. Akion passes through a 4 nm-long potassium ion channel in about 40 ps. What is the ions de Broglie wavelength? Express your answer to one significant figure and include the appropriate units. = 1x10-10 m Previous Answers Correct Part B The ion channel's diameter is 0.3 mm. Suppose that long undergo circular-aperture direction while passing through the channel. What is the width of the central maximum at a distance of 10 nun? Express your answer with the appropriate units OHHA th AU - Value Units Submit Request Answer Partc The mean free path of ions in the cell is less than 1 nm. Does it seem likely that any quantum interference effects could persist for a distance of 10 min, roughly the thickness of the cell membrane? Figure 1 of 1 O Concentration of particles on the ion's path through the membrane is small, so this is quite possible. It is unlikely that quantum cffects could be observed after 10 collisions of the ion and other particles (when the ion has travelled 10 nm). This is possible for any type of particles with any energy values. The cal is too large to observe quantum ellects when considering such a case Submit Previous Answers Request Answer X Incorrect; Try Again; 29 attempts remaining < Return to Assignment Provide Feedback P Pearson