Document:

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                                                                    EXHIBIT 4.13

                              REDEMPTION AGREEMENT

         This Redemption Agreement (this "Agreement") is made by and between NL
Industries, Inc., a New Jersey corporation ("NL"), and Kronos International,
Inc., a Delaware corporation ("KII"), as of June 6, 2002.

                                    RECITALS

A.       NL is a party to an Indenture dated as of October 20, 1993, with
         JPMorgan Chase Bank, formerly known as Chemical Bank, as Trustee
         thereunder (the "Senior Indenture") with respect to NL's 11 3/4%
         Senior Secured Notes Due 2003 (the "Senior Notes").

B.       In connection with the Senior Indenture, KII issued its Second-Tier
         Senior Mirror Note (the "Mirror Note") to its direct parent, Kronos,
         Inc. ("KI"), which Mirror Note KI pledged to NL to secure KI's
         First-Tier Senior Mirror Note and NL in turn pledged to the Trustee to
         secure NL's obligations under the Senior Indenture.

C.       KII intends to make a private placement of certain Euro-based bonds to
         raise funds for debt reduction, including satisfaction of the Mirror
         Note (the "Debt Offering").

D.       KII is willing to loan or otherwise transfer to NL sufficient proceeds
         of the Debt Offering in order to redeem the outstanding Senior Notes
         (including all accrued interest issued by NL pursuant to the Senior
         Indenture the redemption and discharge of the NL Debt (the
         "Redemption"), upon which discharge the Mirror Note will be deemed
         satisfied in full.

E.       NL is willing to provide notice on or before June 10, 2002 to the
         Trustee under the Senior Indenture of NL's intent to effect such
         redemption, and instructions to the Trustee to issue notice of
         redemption to the Holders of the Senior Notes, upon receipt of such
         proceeds from the Debt Offering and to provide to the Trustee all other
         certificates, agreements, instruments and documents contemplated by the
         Senior Indenture or reasonably requested by the Trustee in connection
         with such redemption.

F.       NL and KII wish to enter into this agreement to facilitate the
         consummation of the Debt Offering and related transactions, the
         redemption of the Senior Notes and the other transactions more
         specifically described in this Agreement.

                                   AGREEMENTS

         1. On or before June 12, 2002, NL agrees to provide notice to the
Trustee under the Senior Indenture of NL's intent to effect the Redemption, and
irrevocable instructions to the Trustee to issue notice of redemption to the
Holders of the Senior Notes, upon receipt of sufficient proceeds of the Debt
Offering in order to effect the Redemption (the "Redemption Amount"). NL agrees
to timely deliver to the Trustee all other certificates, agreements, instruments
and documents contemplated by the Senior Indenture or reasonably requested by
the Trustee in connection with the Redemption in order to allow the notice of
Redemption to be issued by the Trustee on June 26, 2002 or such other date on
which the Redemption Amount has been deposited with the Trustee.

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         2. As soon as reasonably practical after consummation of the Debt
Offering, KII agrees to loan or otherwise transfer to NL, in a mutually
acceptable form of transaction (the "Transfer Transaction"), the Redemption
Amount. The Redemption Amount will be transferred directly to a Trustee trust
account. Pending redemption of the Senior Notes, the Trustee will be authorized
to invest the Redemption Amount in short term United States Treasury securities
or money market funds which invest only in United States Treasury securities
with a dollar weighted average maturity of ninety (90) days or less and that
seek to maintain a one dollar per share net asset value. After redemption of the
Senior Notes, any amounts remaining in the deposit account will be returned to
KII.

         3. Upon consummation of the Redemption, NL and KII acknowledge that the
Mirror Note will be deemed satisfied in full and, unless expressly agreed
otherwise in writing in connection with the Transfer Transaction, NL shall be
deemed to have satisfied all obligations to KII with respect to the Transfer
Transaction, including without limitation any loan by KII to NL of the
Redemption Amount. Upon release of the pledge of the Mirror Note by the Trustee,
NL agrees to deliver, or cause KI to deliver, to KII the original of the Mirror
Note for cancellation by KII.

         4. NL and KII each agree to execute all documents and take any and all
other actions that the parties deem to be necessary or desirable to consummate
the transactions contemplated by this Agreement.

         5. This Agreement will be governed by and construed in accordance with
the laws of the State of Delaware, without regard to its conflicts of laws
rules.

         6. This Agreement will be binding upon, and will inure to the benefit
of, NL and KII and their respective successors and assigns.

         7. This Agreement may not be altered, amended, changed, terminated or
modified, or compliance with any provision waived, in any respect or any
particular, except by written instrument executed by each of NL and KII.

         8. This Agreement may be executed in any number of counterparts, each
of which will be deemed an original but all of which will constitute one and the
same instrument.

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         Each of the undersigned has executed this Redemption Agreement as of
the date first written above regardless of the actual date of signing.

NL INDUSTRIES, INC.

By: /s/ Robert D. Hardy
   ----------------------------------------------
Name: Robert D. Hardy
     --------------------------------------------
Title: Vice President
      -------------------------------------------

KRONOS INTERNATIONAL, INC.

By: /s/ Dr. Ulfert Fiand
   ----------------------------------------------
Name: Dr. Ulfert Fiand
     --------------------------------------------
Title: President, Manufacturing and Technology
      -------------------------------------------

By: /s/ Dr. Lawrence A. Wigdor
   ----------------------------------------------
Name: Dr. Lawrence A. Wigdor
     --------------------------------------------
Title: Chief Executive Officer
      -------------------------------------------

                                        3<PAGE>

                                                                    EXHIBIT 4.14

                                                             English Translation

                 Conditions of Profit Participation Certificates
  of KRONOS International, Inc. (hereinafter referred to as "the corporation")

                                    Section 1

                   Issue of profit participation certificates

The Certificate of Incorporation of the corporation provides for the creation of
a profit participation capital and the issuance of profit participation
certificates.

                                    Section 2

               Establishment of profit participation certificates

(1)      The profit participation certificates are issued in the name of the
         owner. Issued are DM 550,000,000.--, divided into 5,500,000 shares a DM
         100,--. Initially one or more global certificates shall be issued for
         the profit participation certificates. Single certificates shall be
         issued only upon request of the owners of profit participation
         certificates. The form of the profit participation certificates is
         determined by the board of directors of the corporation.

(2)      The profit participation certificates are assignable. The declaration
         of assignment must be made in writing. If single profit participation
         certificates have been issued, the assignment further requires the
         transfer of possession of the certificate in order to be valid.

                                    Section 3

Rights of the owners of profit participation certificates and comparison to the
                        rights of owners of common shares

(1)      The profit participation certificates grant a right to distributions
         prior to the dividends of the owners of common shares (Section 4) and a
         right of redemption in the case of the termination of the profit
         participation certificate relationship (Section 6).

(2)      Further rights are not connected with the profit participation
         certificates, in particular no right to participate in a stockholders'
         meeting, no preemptive right in case of newly issued common shares of
         the corporation and no right to a participation in liquidation proceeds
         in case of a dissolution of the corporation.

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                                    Section 4

                                  Distributions

(1)      The owners of profit participation certificates receive an annual
         distribution of 4% of the nominal amount of the profit participation
         certificates out of the balance sheet profit which is prior to the
         dividend of owners of common shares.

(2)      There is no right to a distribution if and to the extent that a loss
         would be caused thereby. If a distribution has not taken place for a
         certain year, it shall not be made out of net income shown in
         subsequent balance sheets.

(3)      The distribution on profit participation certificates is payable on the
         first bank working day after the ordinary stockholders' meeting that
         approves the financial statements of the preceding fiscal year.

(4)      The profit participation certificates are entitled to distributions
         starting January 1, 2000, i.e., for the first time for the fiscal year
         2000.

(5)      For the calculation of the balance sheet profit under these profit
         participation certificate conditions, the transfer of profits into
         revenue reserves and the dissolution of reserves is not taken into
         account.

                                    Section 5

                                    Duration

The duration of the profit participation certificate relationship is unlimited.
It can be terminated by each owner of a profit participation certificate as well
as by the corporation under observation of a notice period of one year to the
end of the fiscal year of the corporation. The profit participation certificate
relationship ends also in case of a dissolution of the corporation.

                                    Section 6

                                   Redemption

Subject to the provisions on the participation in losses, the profit
participation certificates shall be repaid at their nominal value. The amount to
be redeemed is payable on the first bank working day after the day of the
ordinary stockholders' meeting which approves the financial statements of the
fiscal year in which the termination of the profit participation certificate
relationship has become effective. The amount to be repaid shall bear interest
for the time between the effective date of the termination and the repayment
date at the same rate as distributions for the last fiscal year.

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                                    Section 7

                             Participation in losses

If the corporation shows a balance sheet loss, then the profit participation
certificate capital and the equity allocable to the common shares of the
corporation must be reduced proportionally. Until the termination of the profit
participation certificate relationship, profits of the following years are to be
used proportionally to fill up the profit participation certificate capital and
the equity allocable to the corporation's common shares.

                                    Section 8

                                  Subordination

The profit participation certificate capital is subordinated to all other
creditors. Consequently, in the case of a liquidation, all other creditors must
be satisfied first.

                                    Section 9

              Issuance of further profit participation certificates

The owners of profit participation certificates have no right that their profit
participation certificates have priority over claims of other profit
participation certificates yet to be issued.

                                   Section 10

                              Protection of rights

The existence of the profit participation certificates remains unaffected by a
merger of the corporation with other corporations or a change of the corporate
form or a transfer of its assets to another person in consolidation or through
an increase or a decrease of its stated capital. Should such a transaction
affect the adequacy of the consideration for the profit participation
certificates substantially, then the rights of the owners of the profit
participation certificates shall be adapted to the changed circumstances by an
express and unilateral declaration of the corporation named "declaration of
modification" and made according to rules of equity (Section 315 BGB).

                                   Section 11

                                  Miscellaneous

(1)      For the valid and timely giving of notice of the corporation to the
         owners of profit participation certificates, a publication in the
         German Federal Gazette is sufficient in all cases. A notice to the
         individual owners of profit participation certificates is not
         necessary.

(2)      These conditions are subject to the laws of the Federal Republic of
         Germany.

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(3)      The validity of these profit participation certificate conditions as
         such remains unaffected, even if any provision of the profit
         participation certificate conditions should be invalid or
         unenforceable. In this case a provision is deemed applicable which is
         valid and enforceable and which comes as close as possible to what was
         intended by these conditions.

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