Amongst the following, non-narcotic analgesics are: morphine, paracetamol, aspirin, codeine, naproxen, ibuprofen, diclofenac sodium, heroin, luminal.

Explanation

To determine which of the listed substances are non-narcotic analgesics, we can follow these steps:

### Step 1: Understand the Definitions
- **Analgesics**: These are medications that relieve pain. They can be classified into two main categories: narcotic and non-narcotic analgesics.
- **Narcotic Analgesics**: These are opioids that are used to treat severe pain. They can lead to dependence and have a high potential for abuse.
- **Non-Narcotic Analgesics**: These are pain relievers that do not have the addictive properties of narcotics. They are generally used for mild to moderate pain.

### Step 2: Analyze the Given Substances
Now, let's analyze the substances provided in the question:
1. **Morphine**: This is a narcotic analgesic.
2. **Paracetamol**: This is a non-narcotic analgesic.
3. **Aspirin**: This is a non-narcotic analgesic.
4. **Codeine**: This is a narcotic analgesic.
5. **Naproxen**: This is a non-narcotic analgesic.
6. **Ibuprofen**: This is a non-narcotic analgesic.
7. **Diclofenac Sodium**: This is a non-narcotic analgesic.
8. **Heroin**: This is a narcotic analgesic.
9. **Luminal**: This is not an analgesic; it is a barbiturate used as a sedative.

### Step 3: List the Non-Narcotic Analgesics
From the analysis, the non-narcotic analgesics among the listed substances are:
- Paracetamol
- Aspirin
- Naproxen
- Ibuprofen
- Diclofenac Sodium

### Final Answer
The non-narcotic analgesics from the given list are: **Paracetamol, Aspirin, Naproxen, Ibuprofen, and Diclofenac Sodium.**

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