The material liyf4 is a laser host that crystallizes in the i41/a group. the y site can be substituted with a range of rare-earth ions and sits on the 4b wycoff site. for a rare earth ion with the transition of 4h5/2 to 4g5/2, three peaks are observed at 562, 557 and 553 nm. what are these peaks in cm-1? the first two peaks are strong but the peak at 553 nm is very weak. perform a spin orbit coupling and determine the stark levels and explain these observations. the authors say for transitions of 4h5/2 to a 4f9/2 state there is a strong polarization effect in polarized light. can you justify this from your stark level analysis? what would you expect to see in polarized light? for this problem just use the same approach as you did in 2 above.

1. the materials manager for a billiard ball maker must periodically place orders for resin, one of the raw materials used in producing billiard balls. she knows that manufacturing uses resin at a rate of 50 kilograms each day, and that it costs $.04 per day to carry a kilogram of resin in inventory. she also knows that the order costs for resin are $100 per order, and that the lead time for delivery is four (4) days.2. at what point should resin be reordered? a. 0 kilograms remainingb. 50 kilograms remainingc. 200 kilograms remainingd. 400 kilograms remaininge. 500 kilograms remaining3. if order size was 1,000 kilograms of resin, what would be the length of an order cycle? a. 0.05 daysb. 4 daysc. 16 daysd. 20 dayse. 50 days4. if the order size was 1,000 kilograms of resin, what would be the average inventory level? a. 50 kilogramsb. 200 kilogramsc. 500 kilogramsd. 800 kilogramse. 1,000 kilograms5. if the order size was 1,000 kilograms of resin, what would be the daily total inventory costs, excluding the cost of the resin? a. $5b. $10c. $20d. $25e. $40