curl --request POST \
  --url https://api.fincept.in/quantlib/physics/thermodynamics/van-der-waals \
  --header 'Content-Type: application/json' \
  --header 'X-API-Key: <api-key>' \
  --data '
{
  "a": 0.1,
  "b": 0.01,
  "n": 1,
  "temperature": 300,
  "volume": 1
}
'

{
  "success": true,
  "data": {
    "pressure": 2471.9,
    "compressibility_factor": 0.996,
    "critical_point": {
      "T_c": 300.3,
      "P_c": 925.9,
      "V_c": 0.03
    }
  }
}

{
  "detail": "Invalid API key"
}

{
  "detail": "Insufficient credits. This endpoint requires 5 credits."
}

{
  "detail": [
    {
      "loc": [
        "<string>"
      ],
      "msg": "<string>",
      "type": "<string>"
    }
  ]
}

quantlib-physics

Calculate Van der Waals Gas Properties

Calculates properties of a Van der Waals gas, a real gas model that includes molecular interactions and finite molecular size. Returns pressure, compressibility factor, and critical point parameters. The Van der Waals equation exhibits phase transitions and is used to model non-ideal behavior in physical and economic systems.

Use Cases:

Model non-ideal market behavior (deviations from efficient markets)
Phase transition modeling (market crashes, bubbles)
Liquidity constraints (finite volume effects)
Interaction effects between market participants
Critical phenomena in financial systems

Formula: (P + a/V²)(V - b) = RT (for 1 mole)

Credits: 5 credits per request (Pro Tier) [Tier: ENTERPRISE, Credits: 10]

POST

quantlib

physics

thermodynamics

van-der-waals

curl --request POST \
  --url https://api.fincept.in/quantlib/physics/thermodynamics/van-der-waals \
  --header 'Content-Type: application/json' \
  --header 'X-API-Key: <api-key>' \
  --data '
{
  "a": 0.1,
  "b": 0.01,
  "n": 1,
  "temperature": 300,
  "volume": 1
}
'

{
  "success": true,
  "data": {
    "pressure": 2471.9,
    "compressibility_factor": 0.996,
    "critical_point": {
      "T_c": 300.3,
      "P_c": 925.9,
      "V_c": 0.03
    }
  }
}

{
  "detail": "Invalid API key"
}

{
  "detail": "Insufficient credits. This endpoint requires 5 credits."
}

{
  "detail": [
    {
      "loc": [
        "<string>"
      ],
      "msg": "<string>",
      "type": "<string>"
    }
  ]
}

Authorizations

X-API-Key

string

header

required

API key for authentication. Get your key at https://api.fincept.in/auth/register

Body

application/json

number

required

Van der Waals parameter a (attractive interactions)

Example:

0.1

number

required

Van der Waals parameter b (excluded volume)

Example:

0.01

temperature

number

required

Temperature (Kelvin)

Example:

300

volume

number

required

Volume

Example:

1

number

default:1

Number of moles

Example:

1

Response

Van der Waals properties calculated successfully

success

boolean

Example:

true

data

object

Show child attributes

Free Tier (0 credits)

Basic Tier (1 credit)

Standard Tier (2 credits)

Pro Tier (5 credits)

Enterprise Tier (10 credits)

Calculate Van der Waals Gas Properties

Authorizations

Body

Response